The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50

Answers

Answer 1

Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93

Step-by-step explanation:

E(x)= 10

It is a continuous random variable, so calculating for ✓, we have

10=E(x)1/✓

✓=1/10=0.1

1)P(x>60)=1-F(60)=e^0.1x60=0.0025

2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63

3) for 0.1, x= -1/0.1 ln0.1= 23

4) for 0.9, x= -1/0.1 ln 0.9= 1.053

5) for 0.5, x -1/0.1 ln 0.5= 6.3


Related Questions

Stonebridge neighborhood garage sale had these cash receipts for 5 days: $136.97, $256.21, $366.10, $176.04, $72.49. What were the total cash receipts?

Answers

Answer:

5039.05

Step-by-step explanation:

Add everything and then multiply by 5

Answer:

5039.05

Step-by-step explanation:

2 Review Homework 2.2.4 Question Help A town has accumulated 5 inches of snow, and the snow depth is increasing by 5 inches every hour. A nearby town has accumulated 7 inches, and the depth is increasing by 2 inches every hour. In about how many hours will the snowfall of the towns be equal?​

Answers

Answer:

You need to find the equations for each scenario and set them = to each other

Step-by-step explanation:

A) S = 5t + 5

B) S = 7t + 2

Now set them = and solve for t

5t + 5 = 7t + 2

3 = 2t

t = 3/2 of an hr

To check plug in 3/2 into both equations and you should get same answer.

Hope this helps and never stop striving to learn more!

PLEASE HELP THE ONES I CIRCLE ARE THE ONES YOU DO

Answers

Answer:

1 is a competition, 2 is protection, 5 is division, and 8 is solution.

Step-by-step explanation:

hope these are all correct and you ace this!

You spend $38.50 on 7 movie tickets. What is the cost for 1 ticket?

Answers

Answer:

$5.50

Step-by-step explanation:

2+2+2......

please help ASAP................

Answers

Answer:

6

Step-by-step explanation:

2*3=6

I did the test

6 is the answer. Work- 2+2=4+2=6 hope that helped.

help ASAP!! please. i dont get it!

Answers

Answer: 120kg

Step-by-step explanation:

100 items x 1.2kg

100 x 1.2 = 120

Answer:

120 I think

Step-by-step explanation: I hope this helps

The length of a rectangle is 50 meters. This is 6 meters more than twice the width. Find the width.

Answers

Answer:

106 meters

Step-by-step explanation:

50x2=100 100+6=106

Answer: 22

Step-by-step explanation:

50=2x+6

Add negative 6 to both sides (50+ -6) and (6+-6)

Then divide both sides by 2 (2x/2) and (44/2)

That is how you properly solve this 2 step equation

help asap
..........

Answers

the answer is +2

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¿Cuál de estos es un número primo? 733 712 702 725​

Answers

733 porque puedes dividir 712 why 702 entre 2 why puedes dividir 725 entre 5.

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth. 1.Which line represents the distance traveled by Noah, and which line represents the distance traveled by Diego? Label each line with one name.​

Answers

Answer:

the blue line

Step-by-step explanation:

Answer:

Step-by-step explanation:himxbe

What are the 2 points on the graph? Choose 2.

Answers

Answer:   (0,-1) (4,4)

Plz mark brainliest:)

Answer:

The top one is (-4,4)

and the other one is (0.-1)

hope this helps :)

To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?

A) Because this is a convenience sample, it is likely that the sample results will be unbiased.
B) Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C) Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D) Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

Answers

Answer:

WARNING! C IS INCORRECT 2021.

MOST LIKELY (B): Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

ED2021

Whats is the answer of 1x3x4x6+1

Answers

Answer:

73

Step-by-step explanation:

Answer:73

Step-by-step explanation:

Multiply. Enter the product in simplest form.
1/8×2/5
Multiply. Enter the product in simplest form.
2/9×7/8
Multiply. Enter the product in simplest form.
5/8×4/5
Multiply. Enter the product in simplest form.
4/3×2/7
Multiply. Enter the product in simplest form.
7/25×20/21 The product is
Multiply. Enter the product in simplest form.
5/6×1/5 The product is
Multiply. Enter the product in simplest form.
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Multiply. Enter the product in simplest form.
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Multiply. Enter the product as an improper fraction in simplest form.
1/5×6
Multiply. Enter the product as an improper fraction and mixed number in simplest form.
1/8×10

Answers

Answer:

1. {1/20} 2. {7/36} 3. {1/2} 4. {8/21} 5. {4/15}

6.{1/6} 7.{ 20} 8. {15} 9. {1.2} 10. {1.25}

Step-by-step explanation:

Express this number in standard form.
3.643 x 10^-1 = ?

Answers

Answer:

Solution : Number . In standard form we solve power of 10. Therefore, in standard form is 0.3643

Step-by-step explanation:

hope it helps pls mark as brainliest

Answer:

0.3643

Step-by-step explanation:

brainliest for correct answers

Answers

Answer:

impossible

unlikely

neither unlikely nor likely

likely

certain

Step-by-step explanation:

When
When 7 is subtract from three times a certain number the result is 28 what is the number

Answers

Answer:

x=49

Step-by-step explanation:

you replace the unknown with a variable (x)

you subtract 7 three times, so it x-7-7-7=28 or x-21=28

you add 21 to both sides, then you get x=49

A pizza restaurant charges $10.00 for 1 pizza, $20.00 for 2 pizzas, and $28.00 for 3 pizzas. Based on this information, how much will the restaurant charge for 4 pizzas?

Answers

Answer: $36.00

For every extra pizza, it will cost eight dollars more. So, the fourth pizza will cost $36.00.

Plz mark brainliest:)

I WILL GIVE BRAINLIEST PLZ ANSWER, RUNNING OUT OF TIME!!!

Answers

Answer:

[tex]inrease \: = 900 - 250 = 650 \\ persent = \frac{650}{250} \times 100 \\ = 65 \times 4 = 260[/tex]

it takes avery 48 seconds to sprint 365 m. what is her average speed?

Answers

Answer:

7.6 meters a second

Step-by-step explanation:

Calculator

-5 – 5 + (6 x -7) x 2

Answers

Answer:

-94

Step-by-step explanation:

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Answers

Answer:

171/56

Step-by-step explanation:

convert the mix number to an improper fraction then calculate your income

Answer:

I think it would be 8 1/7  if im wrong im srry!

Step-by-step explanation:

If q(x)=4/5x-9, find the value of x so that the function has the given value of q(x)=3

Answers

Answer: x = 15

Step-by-step explanation:

1) Set q(x) = 3 in the equation.

3 = (4/5)x - 9

2) Add 9 to both sides.

12 = (4/5)x

3) Multiply by 5/4 on both sides.

15 = x

x = 15

If 115% of a number is 460, what is 75% of that number?

Answers

Answer:

300

Step-by-step explanation:

Step 1:

460/115 = x/75         Equation

Step 2:

115x = 34,500       Multiply

Step 3:

x = 34,500 ÷ 115         Divide

Answer:

x = 300

Hope This Helps :)

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Answers

3 4 )!/‘( yh fb Hv eisho cousin

7.82 change the decimals to fractions reduced to lowest terms.​

Answers

Answer:

7.82 = 391

50

= 741

50

as a fraction

To convert the decimal 7.82 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

7.82 = 7.82

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

7.82

1

= (7.82 × 100)

(1 × 100)

= 782

100

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(782,100) = 2. So,

(782÷2)

(100÷2)

= 391

50

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 782

100

is also equal to 741

50

when expressed as a mixed number.

Step-by-step explanation:

Answer:

7.82

20

Step-by-step explanation:

hope this helps

ANSWER WILL GET BRAINLIEST!!!!!!!!!!!!!!!!

Answers

Answer:

C. The two lines have the same slope

Step-by-step explanation:

If two lines are parallel, then they are both going in the same direction forever. If two lines go in the same direction forever, then they have the same slope.

BRAINLIEST!!!!!! easy question

Answers

Answer:

Draw a line that intersects the first line using a straightedge

The first answer

Answer:

second option: Draw a ray that intersects the frist line at a right angle using a straightedge

Step-by-step explanation:

If the radius of the circle is 5 inches, what is the diameter?

10 inches
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25 inches
2.5 inches

Answers

10 inches because diameter is double the radius

Answer:

10 Inches

Step-by-step explanation:

Remember the radius is always half the diameter. So, r * 2 = d. Plug those in...

5 * 2 = 10.

Therefore, the answer is 10 inches.

What is the discriminant of the quadratic equation 6x2
9x – 8 = 0?
-111
273
111
-273

Answers

Answer:

-111

Step-by-step explanation:

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