Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born in May. A group of 20 friends meet monthly and celebrate the birthdays for that month. What is the probability that at the May celebration, exactly two members of the group have May birthdays

Answers

Answer 1

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

[tex]p = \frac{31}{365} = 0.0849[/tex]

Group of 20 friends:

This means that [tex]n = 20[/tex]

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays


Related Questions

Help i'll give you brainlyest

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Answer:

can I see the third one, like can I see the full page because I can't see the rest

Find the area of this circle. Use 3.14 for .
82 mm
The area of the circle is about mm2.
(Round to the nearest hundredth as needed.

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Answer:

Step-by-step explanation:

What is 82 mm? The radius or diameter?

If the radius is 82 mm, the area is π82² ≅ 21,113.36 mm².

If the diameter is 82 mm, the radius is 41 mm and the area is π41² ≅ 5,278.34 mm²

Apply the elimination method to solve the system of equations 2x + 6y = 8 and 3x + 2y = 5. Which THREE statements are correct?

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Answer:E,D,A

Step-by-step explanation:

HELP ME 2 PICTURES BTW 50 POINTS

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Answer:

7 and 9 are alternate interior angles

Step-by-step explanation:

4 and 11 are corresponding angles

1 and 7 are vertical angles

What is the range of the function y=x+8?​

Answers

I think it is

(-infinity, infinity)

There are no restrictions on x. If x can be any value, then the same goes for y.

Answer: Range = ALL REAL NUMBERS.

We can also express the answer as

(-infinity, infinity).

Need help!! algebra!!!

Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

Answer:

Step-by-step explanation:

STANKY PLSS HELP ME ❤️

Answers

Answer:

PQS is a triangle

Step-by-step explanation:

Area of triangle= L×B

So,

20×7

140cm²

Answer :70

Step-by-step explanation:

Area formula: a times b/ 2

PQS: 7 times 20/ 2= 70

Your answer is 70

I hope this helps and may God bless you.  have a nice day, bye!

What is the solutions to this system of equations?
x+ 2y - z = 3
2x - y + 2z = 6
x- 3y + 3z = 4
____________
A) (-6,7,14)
B) (2,-3,5)
C) infinite solutions
D) no solutions

Answers

Answer:

D- No solution

Step-by-step explanation:

Isolate x for x+2y−z=3: x=3−2y+z

then Simplify

then Isolate y for −5y+4z+6=6: y= 4z 5 −5y+4z+6=6 Subtract 6 from both sides −5y+4z+6−6=6−6 Simplify −5y+4z=0 Subtract 4z from both sides −5y+4z−4z=0−4z Simplify −5y=−4z Divide both sides by −5 −5y −5 = −4z −5 Simplify y= 4z 5

lastly simply.

GIVING EVERYTHING IF CORRECT. NO MORE LINKS.

Answers

I think the answer is C

solve the equation
t^3=-343

Answers

Answer:

7

Step-by-step explanation:

t^3=7^3

t=7^3-^3

t=7

Please mark me as brainliest

Answer:

t = -7

Step-by-step explanation:

if you multiply -7 by -7, you get 49. Now if you multiply 49 times -7 you get -343

10 POINTS FOR CORRECT ANSWER PLEASE HELP ME

Answers

Your answer should be 12.73
12.73 is the answer

Find the lateral area of the cylinder.

Answers

Answer:

[tex]A=440\ m^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 10 m

Hight, h = 14 m

Radius, r = d/2 = 5 m

We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :

[tex]A=2\pi rh\\\\A=2\times \dfrac{22}{7} \times 5\times 14\\A=440\ m^2[/tex]

So, the lateral surface area of the cylinder is equal to [tex]440\ m^2[/tex].

Please help me! It’s due soon!

Answers

9/20 because if you count the red and blue out of the 20, theres 9. So you have a 9/20 chance it will hit red or blue.

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

7*3=21

21*2=42

42 units^3

Step-by-step explanation:

brainliest

Mila invested $9,300 in an account paying an interest rate of 4\tfrac{7}{8}4
8
7

% compounded monthly. Carter invested $9,300 in an account paying an interest rate of 4\tfrac{3}{4}4
4
3

% compounded continuously. After 7 years, how much more money would Mila have in her account than Carter, to the nearest dollar?

Answers

Answer: 105 (rounded to the nearest dollar)

Step-by-step explanation:

It’s correct on delta match

A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed:

Women Men
Sample size 90 100
Sample mean 8.4 years 8.5 years
Sample std 0.6 year 0.5 years

Required:
Perform the appropriate test to see if there is a significant difference in time to completion of medical school between women and men.

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Null \ H_{yp}: \mu_{men} = \mu_{women}\\\\Alt \ Hyp: \mu_{men} \neq \mu_{women}\\\\Std\ Error\ (SE) = \sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})} \\\\[/tex]

                          [tex]= \sqrt{(\frac{0.62}{90}) + (\frac{0.52}{100})} \\\\= 0.08[/tex]

[tex]test\ statistic \ t = \frac{(x_1 - x_2)}{SE} = \frac{(8.4 - 8.5)}{0.08} = -1.25[/tex]

Degrees of freedom

[tex]= \frac{(\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2})^2}{\frac{(\frac{s_1^2}{n_1})^2}{(n_1 - 1)}} + \frac{(\frac{s_2^2}{n_2)^2}}{(n_2 - 1)} \\\\= 174[/tex]

Considering a degree of 5% importance

T for df critical value = 174 and sig level = 0.05 is +1.973

Let area of refusal shall be  t < -1.973 or t > +1.973

Because statistical tests weren't in the refusal zone, they may not deny that zero but find that perhaps the argument how both women and men undergo med school is considerably different lengths of time is not significantly supported.

PS: WILL GIVE BRANLIEST
Select ALL the ratios that are equivalent to 16 : 6

a. 3 to 8

b. 32 : 12

c. 4 to 2

d. 8 to 3

Question 3 options:

a & b


b & c


b & d


a & c

Answers

I'm pretty sure it a 3 to 8 and 32 to 12

Answer:

The answer will be b & c.

The answer will be e B and C that is 32:12 and 4 to 2. Because it is equivalent to 16: 6.

Need help if you can answer through would be great thank you

Answers

Step-by-step explanation:

I don't really know the answer 'cause

check the answer in aswer sheet

What is the slope of this line (0,8), (6,-4)

Answers

Answer:

-2

Step-by-step explanation:

formula: (-4)-8/6-0 or 8-(-4)/0-6

=-12/6

=-2 (hope this helps)

Answer step by step
please

Answers

Answer:

the answer is D, because 30/2 is 15.

Answer:

15

Step-by-step explanation:

Angle CDA = 1/2 ×angle ABC

because the angle at the center of the circle is twice of the angle at the circumference.

so angleCDA = 1/2 ×30 = 15 degrees

Can someone please tell 5% as a fraction

Answers

Answer:

5/100 = 1/20

Step-by-step explanation:

5% = .05 = 5/100 = 1/20

What is the simplified value of the expression below?

Answers

Answer:

I dont know the experssion but I will give you steps to figure it out!

Step-by-step explanation:

Before you evaluate an algebraic expression, you need to simplify it. This will make all your calculations much easier. Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors

use exponent rules to remove parentheses in terms with exponents

combine like terms by adding coefficients

combine the constants

When simplifying an expression, the first thing to look for is whether you can clear any parentheses. Often, you can use the distributive property to clear parentheses, by multiplying the factors times the terms inside the parentheses. In this expression, we can use the distributive property to get rid of the first two sets of parentheses.

Now we can get rid of the parentheses in the term with the exponents by using the exponent rules we learned earlier. When a term with an exponent is raised to a power, we multiply the exponents For example, (x2)2 becomes x4.

The next step in simplifying is to look for like terms and combine them. The terms 5x and 15x are like terms, because they have the same variable raised to the same power

Finally, we look for any constants that we can combine.

Now our expression is simplified. Just one more thing -- usually we write an algebraic expression in a certain order. We start with the terms that have the largest exponents and work our way down to the constants. Using the commutative property of addition, we can rearrange the terms and put this expression in correct order, like this.

Which of these describes the transformation of ∆XYZ to ∆X᾿Y᾿Z᾿?

Answers

9514 1404 393

Answer:

  A.  translation 8 left

Step-by-step explanation:

Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.

Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.

Answer:

a is the answer.

Step-by-step explanation:

Consider the right cones pictured below.
Which value of x would make the two cones similar?
O4
4/7 16/7 49/4

Answers

Answer:

D

Step-by-step explanation:

I just took it

Answer:

D

Step-by-step explanation:

edge 2021

There are 20 students in Lynn's class. 12 of the students are in choir and 8 are in band. Write a fraction, in simplest form, to represent the part of the class that is in choir.

Answers

Answer:

3/5

Step-by-step explanation:

i‍♀️‍♀️

Answer:

3/5

Step-by-step explanation:

students in choir - 12

total number of students - 20

students in choir

-------------------------

total no. of students

12

----

20

3

--

5

Drag and drop number tiles into the boxes to show the median, first quartile (Q1) and third quartile (Q3)
of the data on the dot plot.

Answers

Answer:

Median = 5

Q1 = 2

Q3 = 10

Step-by-step explanation:

✔️On the dot plot, each dot represents a data point.

The median is the middle data point which is the 6th data point on the dot plot.

This:

Median = 5 (6th data point)

✔️Q1 is the middle value of the lower set of data points before the median = the 3rd data point

The 3rd data point is 2

Therefore,

Q1 = 2

✔️Q3 is the middle value of the upper set of data points after the median = the 9th data point.

The 9th data point = 10

Therefore,

Q3 = 10

Answer:9

Step-by-step explanation:

What is always true about the net of a prism?
It contains 0 triangles.
It contains 0 or 2 triangles.
O It contains 3 or more triangles.
o It contains 4 or more triangles.

Answers

Answer:

B: It contains 0 or 2 triangles

Step-by-step explanation:

Just took the unit test review on edge and this was the answer

2021

Answer:

it is b the other person is right just did the unit test review

                                              I I

Step-by-step explanation: OO

What number should be added to both sides of the equation to complete the square?
x2 - 6x = 5

Answers

Answer:

Ans: 9

pls mark as brainliest!!

Step-by-step explanation:

Completing the square is done as follows:

1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.  

x^2 – 6x = 5

2. Make sure that the coefficient of the x^2 term is 1.

x^2 – 6x = 5

3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.

x^2 – 6x + 9 = 5 + 9

(x-3)^2 = 14

Therefore, 9 should be added to both sides to complete the square.

Halloween candy goes on sale 25% off the day after Halloween. If a bag of candy is priced $10, what is the price the day after Halloween?

Answers

if 25% = 1/4 then what is 1/4 of 10? 2.5
should be 7.5 because i made sure my calculations were correct and 25 % off of $10 is 7.5

mobymax help 11 points math

Answers

Answer:

10/15 + 3/15 = 13/15

Step-by-step explanation:

10/15 + 3/15 = 13/15
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