It has been estimated that only about 30% of California residents have adequate earthquake supplies. Suppose we are interested in the number of California residents we must survey until we find a resident who does not have adequate earthquake supplies. a. In words, define the random variable X. b. List the values that Xmay take on. c. Give the distribution of X.X~ _____(_____,_____) d. WhatistheprobabilitythatwemustsurveyjustoneortworesidentsuntilwefindaCaliforniaresidentwhodoes not have adequate earthquake supplies? e. What is the probability that we must survey at least three California residents until we find a California resident who does not have adequate earthquake supplies? f. HowmanyCaliforniaresidentsdoyouexpecttoneedtosurveyuntilyoufindaCaliforniaresidentwhodoesnot have adequate earthquake supplies? g. How many California residents do you expect to need to survey until you find a California resident who does have adequate earthquake supplies?

Answers

Answer 1

Answer:

Step-by-step explanation:

We are given that 30% of California residents have adequate earthquake supplies.

a) Ramon variable X denotes the number of the california residents that have adequate earthquake insurance

B) x can take value 1 ,2 ,3 ......

C)The distribution of random variable is geometric distribution with parameter p=0.3

The pmf of geometric distribution is

[tex]P(X=x)=0.3(1-0.3)^{x-1} , x=1,2,3...[/tex]

D)P(X=1) or P(X=2)=P(X=1)+P(X=2)

P(X=1) or P(X=2)=[tex]0.3(1-0.3)^{1-1}+0.3(1-0.3)^{2-1}=0.51[/tex]

E)

[tex]P(X \geq 3)=1-P(X<3)\\P(X \geq 3)=1-(P(X=1)+P(X=2))\\P(X \geq 3)=1-0.51\\P(X \geq 3)=0.49[/tex]

F)

[tex]E(X)=\frac{1}{p}[/tex]

p is the resident who does not have adequate earthquake supplies.

p = 1-0.3 = 0.7

[tex]E(X)=\frac{1}{0.7}=1.42[/tex]

G)[tex]E(X)=\frac{1}{q}=\frac{1}{0.3}=3.33[/tex]


Related Questions

Find 4.8 x 7.2 show your proof

Answers

Answer:

34.56

Step-by-step explanation:

it is what it is

Pls help i don't want to fail

Answers

Answer:

27/50

Step-by-step explanation:

Just do 9/10/3/5

Answer:If the question is asking for 9/10/3/5 the answer is 3/50; however, if the question is asking for (9/10) / (3/5), the answer should be 3/2.

Step-by-step explanation: The 3/50 answer comes from 9/10 which equals .9, dividing that by 3. That equates to .3, and then dividing by 5 which measures up to .06. From there you can turn .06 into a fraction being 3/50.

You get the 3/2 by dividing (9/10) by (3/5). .9/.6 is 1.5. When converted to a fraction 1.5=3/2. Hope this could help.

Which of these equations, when solved, gives a different value of x than the other three? 9.1 = -0.2x + 10 10 = 9.1 + 0.2x 10 – 0.2x = 9.1 9.1 – 10 = 0.2x To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan's gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9

Answers

Given:

Different equations are given.

Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan's gift card had $1.90 remaining.

To find:

The equation which gives a different value of x than the other three.

To find the equations that could you use to find the price of one tire patch.

Solution:

In option A,

[tex]9.1 = -0.2x + 10[/tex]

[tex]0.2x= 10-9.1[/tex]

[tex]0.2x= 0.9[/tex]

Divide both sides by 0.2.

[tex]x=\dfrac{0.9}{0.2}[/tex]

[tex]x=4.5[/tex]

Similarly,

In option B,

[tex]10 = 9.1 + 0.2x[/tex]

[tex]0.9= 0.2x[/tex]

[tex]4.5=x[/tex]

In option C,

[tex]10-0.2x = 9.1[/tex]

[tex]-0.2x = -0.9[/tex]

[tex]x = 4.5[/tex]

In option D,

[tex]9.1 – 10 = 0.2x[/tex]

[tex]-0.9 = 0.2x[/tex]

[tex]-4.5 = x[/tex]

Since option D has difference solution, therefore the correct option is D.

Let price of one tire patch be x.

So, price of 4 tire patches = 4x

Remaining amount in Rhyan's gift card = $1.90

Total amount = $22.20

Price of 4 tire patches + Remaining amount in gift card = Total amount

[tex]4x+1.9=22.2[/tex]

It can be written as

[tex]4x-22.2=-1.9,1.9=22.2-4x,22.2-4x=1.9[/tex]

Therefore, the correct options are C and E.

Answer:

c and e the last and second to last one

Step-by-step explanation:

Factorise x²+4x-525
Factorise it plz

Answers

Answer:

(x+25)(x-21)

Step-by-step explanation:

x²+4x-525

=x²-21x+25x-525

=x(x-21)+25(x-21)

=(x+25)(x-21)

Answer:

(x+25)(x-21)

Step-by-step explanation:

x²+4x-525

multiply to get -525

add to get 4

x²+4x-525

(x²+21x)(+25x-525)

factorise:

x²+21x

x(x-21)

25x-525

25(x-21)

(x+25)(x-21)

Approximate which two integers √210 is between.

Answers

Answer:

14 and 15

Step-by-step explanation:

14 - 196

15- 225

Can you pls help me with this question pls

Answers

Answer:

This is it ranked from least to greatest. 3/10 being the least

3/10

5/9

45/90

Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?

Answers

Answer:

3

Step-by-step explanation:

because 3 times 5 is 15 - 12 is 3

42dx - 7dx = 70f solve for x

Answers

X = 2f/d this answers needs to be 20 characters long.
Answer is x= 70f/41d

who loves beetle juice

Answers

Answer:

i literally just finished watching it lol

Answer:i do becuase it is a funny movie :))

Step-by-step explanation:

What’s the answer hurry

Answers

Answer:

y=12x

Step-by-step explanation:

According to the table

48=12(4) which is true

60=12(5) which is true

96=12(8) which is true

Answer:

12, 60/5 is 12, 48/4 is 12, 96/8 is 12

A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours. After the leak is fixed, the height of the water is 4.75 feet. The equation 4.75 = x + (negative 0.25) can be used to find x, the original height of the water in a pool.

What was the original height of the water in the pool in feet?

Answers

Answer:

Assuming the leak took 2 hours to fix, the original height of the pool is 5 feet.

Step-by-step explanation:

This is probably the most simple "high school" problem I've seen in a while. All you have to do is move the negative 0.25 to the other side to isolate x. That gives you 4.75 + 0.25, or 5 feet.

The original height of the water in the pool was 5 feet.

Given that there is leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours.

After the leak is fixed, the height of the water is 4.75 feet.

The equation 4.75 = x - 0.25 can be used to find x, the original height of the water in a pool.

we need to find the original height of water,

To find the original height of the water in the pool, we can use the given information and equation.

Let's break down the equation: 4.75 = x - 0.25

Here, x represents the original height of the water in the pool, and -0.25 represents the decrease caused by the leak.

The equation states that after the leak is fixed, the height of the water in the pool is 4.75 feet. This means that the final height (4.75 feet) is equal to the original height (x) minus the decrease caused by the leak (-0.25 feet).

To solve for x, we can isolate it on one side of the equation.

Adding 0.25 to both sides of the equation, we get:

4.75 + 0.25 = x - 0.25 + 0.25

Simplifying the equation, we have:

5 = x

Therefore, the original height of the water in the pool was 5 feet.

Learn more about Equation click;

https://brainly.com/question/29657983

#SPJ2

Help needed immediately. :( this is my my third time posting and no one is helping

Answers

Answer:

I know for a fact its the first and third ones but if there are more than those two I don't know

Step-by-step explanation:

Answer:

triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer

hope it helps you!

which posture or theorem proves that these two triangles are congruent

ASA Congruence
AAS Congruence Theorem
HL Congruence Theorem
SAS Congruence postulate ​

Answers

Answer:

AAS Congruence Theorem

What is the slope of the line described by the equation below?
y=-6x + 3
O A. 3
O B. -3
O c. 6
O D. -6

Answers

Answer:

-6

Step-by-step explanation:

y=-6x + 3

This is in the form y = mx+b where m is the slope and b is the y intercept

The slope is -6 and the y intercept is 3

The answer is D.) -6

What is the slope of a line perpendicular to y=3/2x+5

Answers

Answer:

To find a slope perpendicular to another line, you need to change the sign and flip the fraction.

Your answer:

m = -2/3

Answer:

3/2 i'm pretty sure

A camera is marked down from $36 to $27. What is the percent of the markdown

Answers

Answer:

75%

Step-by-step explanation:

You have to put 27/36 and multiply 27/36 by 100/1 and then you get 2700/36 and divide it and you get 75 so that is how you get 75%


PLEASE HELP Identify the slope (m)and y-intercept (b) of the linear function graphed below. Then, construct the linear equation for

Answers

Answer:

look at image attached :)

Complete the following problems.
Amy has $50 in her lunch account. Amy spends $3 a day for lunch. Amy's mother receives a notification when Amy's
account balance reaches $5 or lower. How many lunches can Amy purchase until her mother receives a notification? And what is the equation in slope intercept form

Answers

Answer:

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

Step-by-step explanation:

The balance Amy has in her lunch account is a function of the number of lunches she has consumed.

The initial balance is $50 and it decreases by $3 for every lunch Amy has. Thus, the function that models the balance in her lunch account is:

[tex]B(x)=50-3x[/tex]

Where x is the number of lunches.

Her mother receives a notification when the balance goes at $5 or lower, thus the condition that triggers the notification is:

[tex]B(x) \le 5[/tex]

Or, equivalently:

[tex]50-3x\le 5[/tex]

Subtracting 50:

[tex]-3x\le 5-50[/tex]

[tex]-3x\le -45[/tex]

Multiplying by -1 (and flipping the sign):

[tex]3x\ge 45[/tex]

Solving:

[tex]x\ge45/3[/tex]

[tex]x\ge 15[/tex]

Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.

x+2y=8
standard to slope intercept form

Answers

Answer:

2x + 8 = y

or

2y = x + 8

Step-by-step explanation:

Any help and this please ??

Answers

Domain is y=2 and range is 4 I think

There are 28 tables in the cafeteria. Each table has 12 students sitting at it. Fourth graders sit at 13 of the tables. Fifth graders sit at the rest of the tables.

How many fifth graders are there?

Answers

Answer:

180 students

Step-by-step explanation:

28 -13 = 15

15 tables times 12 students

Answer: 180 fifth grader

Step-by-step explanation:

John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increase in the fee, the average number of students reduces by 1.

Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.

Answers

Answer: c(x)=-2 x2 + 16x + 168

Step-by-step explanation: I hope this helps if im wrong im srry!

Answer:

[tex]c(x) = - 1(x - 7.5)^{2} + 222.25[/tex]

I apologize if this is the wrong format. It's also extremely complicated to explain.

Help ASAP
Write the fraction [tex]\frac{45}{81}[/tex] in simplest form.

Answers

The simplest form of 45/81 is 5/9

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{45}{81}[/tex] ( divide numerator and denominator by HCF of 9 )

= [tex]\frac{5}{9}[/tex] ← in simplest form

BRAINILEST IF ANSWEED QUICKLY AND CORRECT
(05.01)Which statement best describes the area of the triangle shown below?

A coordinate grid is shown with a triangle. The base is 4 units, and the height is 4 units.

It is one-half the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a square of side length 4 units.

Answers

The answer is B. It is one-half the area of a square of side length 4 units.

What is f-1(-3)?
N f(x)
-6
-3
-3
-1
0
1
3
3
6
5

Answers

It’s f+3 that your anser

Triangle ABC is isosceles. What are the steps you would take to construct the perpendicular bisector for segment AB.​

Answers

Answer:

look at my Step-by-step explanation

Step-by-step explanation:

The perpendicular bisector of a line segment

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Proof. top.

I earn 770.98(R) every week. I have 385.49(R) since I spent the other half on toys. I want extra items on a game, but it's 1,541.72(R). How long will I have to wait until I save enough money for it? 385.49 + 770.98 < 1,541.72. (It's in Russian dollar so lemme translate) 385.49 = 5 US dollar) 770.98 = 10 US dollar) 1,541.72 = 20 US dollar)

Answers

Answer:

1.5 weeks

Step-by-step explanation:

Given

[tex]Earnings = 770.98[/tex] weekly

[tex]Amount\ Left = 385.49[/tex]

[tex]Game\ Cost = 1541.72[/tex]

Required

Determine the time taken to save up

Represent the time with t

The relationship between the given parameters can be expressed as:

Amount + Earnings in t weeks = Game Cost

This gives:

[tex]385.49 + 770.98t = 1541.72[/tex]

Collect Like Terms

[tex]770.98t = 1541.72 - 385.49[/tex]

[tex]770.98t = 1156.23[/tex]

Solve for t

[tex]t = 1156.23/770.98[/tex]

[tex]t = 1.49968870788[/tex]

[tex]t = 1.5[/tex] Approximated

Question 5
At a soccer tournament, 240 water bottles were sold during the first day. During the second day, the number of water bottles sold was 156. What was the percentage of decrease?
Your answer:

Answers

Answer:

i think it 180

Step-by-step explanation:

24. Janet and Jack are walking in a two-day event to raise money for charity.
Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she
walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile
he walks. At how many miles of walking would Janet and Jack collect the
same amount of money?

Answers

Answer:

40 miles walk

Step-by-step explanation:

Let the miles walked by both of them be x at which money collected by same

for Janet

Fixed donation  asked = $7.50

money asked for walking 1 mile = $0.10

money made by Janet if he walks x miles = x*$0.10 = $0.10x

Total money collected by Janet = Fixed donation  asked + money made by Janet if he walks x miles

Total money collected by Janet =7.50 + 0.10x

For Jack

Fixed donation  asked = $5.50

money asked for walking 1 mile = $0.15

money made by Janet if he walks x miles = x*$0.15 = $0.15x

Total money collected by Jack = Fixed donation  asked + money made by Jack if he walks x miles

Total money collected by Jack =5.50 + 0.15x

we have to find miles at which money collected by both of them be same

and we have decided that it it as x mile walk then

Total money collected by Janet = Total money collected by Jack

7.50 + 0.10x = 5.50 + 0.15x

=> 7.50 - 5.50 = 0.15x - 0.10x

=> 2 = 0.05x

=> x = 2/0.05 = 40

Thus, at 40 miles walk money collected by both of them will be same

Simplify 6(3a - 8b + 2)

Answers

6(3a-8b+2)
18a-48b+12
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