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


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Answers

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Step-by-step explanation:

i‍♀️‍♀️

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

The answer will be b & c.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Ans: 9

pls mark as brainliest!!

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Answers

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Answers

Answer:

D- No solution

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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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:

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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.

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Answers

Answer:

PQS is a triangle

Step-by-step explanation:

Area of triangle= L×B

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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!

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.
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