Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly selected, find...

Question

Question

Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly selected, find...

Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly selected, find the probability that exactly five of them will consider themselves knowledgeable fans. Round to the nearest thousandth.

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Solution:

Given,

p = 95% = 0.65

1 - p = 1 - 0.65 = 0.35

n = 12

$\therefore$ X follows the Binomial(12 , 0.65)

Using binomial probability formula ,

P(X = x) = (_n C _x) * p^x * (1 - p)^{n - x} ; x = 0 ,1 , 2 , ....., n

P(X = Exactly 5) = (₁₂ C ₅) * 0.65⁵ * (0.35)^{12 - 5} = [12!/(5! * 7!)] * 0.65⁵ * (0.35)⁷ = 0.059

P(X = Exactly 5) = 0.059

Add a comment

Answer 2

Similar Homework Help Questions

1. Sixty-five percent of men consider themselves knowledgeable football fans. If 11 men are randomly selected,...

1. Sixty-five percent of men consider themselves knowledgeable football fans. If 11 men are randomly selected, find the probability that exactly four of them will consider themselves knowledgeable fans.
Fifty four percent of men consider themselves basketball fans. You randomly select 10 men and ask...

Fifty four percent of men consider themselves basketball fans. You randomly select 10 men and ask each if he considers himself a basketball fan. Find the probability that the number who consider themselves basketball fan is a) Exactly eight b) At least eight c) Less than eight. Please show work step by step and include the formulas if it is needed.
Sixty-five percent of consumers prefer to purchase electronics online. You randomly select consumers. Find the probability...

Sixty-five percent of consumers prefer to purchase electronics online. You randomly select consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five. (a) Find the probability that the number that prefer to purchase electronics online is exactly five. P(5)= (Round to three decimal places as needed.) (b) Find the probability that the number that prefer to purchase electronics online is more than...

sixty five percent of people pass the state driver's exam on the first try. A group...

sixty five percent of people pass the state driver's exam on the first try. A group of 50 individuals who have have taken the driver's exam is randomly selected. Determine the expected value. What is the probability that exactly 25 people pass the test? more than 35?
command or a command that performs the same function as "list". See previous templates for examples....

command or a command that performs the same function as "list". See previous templates for examples. Write one R program to answer the following questions: 1.48% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Determine the probability that the number of men who consider themselves baseball fans is exactly eight. Fifty-five percent of households say they would feel secure if they had $50,000 in savings....
Sixty percent of households say they would feel secure if they had $50,000 in savings. You...

Sixty percent of households say they would feel secure if they had $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if them had $50,000 in savings. Find the probability that the number that say they would feel secure is (a) exactly five, (b) more than five, and (c) at most five

the consista professional s Find the probability that the number who consider themselves basebal l eacty...

the consista professional s Find the probability that the number who consider themselves basebal l eacty 179% of men consider themselves professional basebalus. You randomly select 10 men and five, a n d less than (a) Round to live dec e s as needed) D) P - Round to three decimal places as needed) Round to three decimal places as needed 4)
36% of women consider themselves fans of professional basebal You random y select six women and...

36% of women consider themselves fans of professional basebal You random y select six women and ask each if she considers herself a fan of professional baseball Complete pats a thou h d below (a) Find the mean of the binomial distribution. (Round to the nearest tenth as needed) (Round to the nearest tenth as needed.) (b) Find the variance of the binomial distribution. 2(Round to the nearest tenth as needed.) (c) Find the standard devistion of the binomial distribution....
Twelve (12) randomly selected adults were asked how many US states they had visited and how...

Twelve (12) randomly selected adults were asked how many US states they had visited and how many foreign countries they had visited. Use α = .05 . # of states, x 20 27 8 8 32 7 3 10 32 25 20 8 # of countries, y 0 5 0 7 5 5 0 5 10 4 4 8 Find the linear correlation coefficient, r. (Round to the nearest ten-thousandth.) The heights and weights of 15 randomly selected adult men...

Seventy-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find...

Seventy-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five (a) Find the probability that the number that prefer to purchase electronics online is exactly five P(5) (Round to three decimal places as needed.)

Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly selected, find...

Homework Answers

Add Answer to:
Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly selected, find...

Post as a guest

Earn Coins

1. Sixty-five percent of men consider themselves knowledgeable football fans. If 11 men are randomly selected,...

Fifty four percent of men consider themselves basketball fans. You randomly select 10 men and ask...

Sixty-five percent of consumers prefer to purchase electronics online. You randomly select consumers. Find the probability...

sixty five percent of people pass the state driver's exam on the first try. A group...

command or a command that performs the same function as "list". See previous templates for examples....

Sixty percent of households say they would feel secure if they had $50,000 in savings. You...

the consista professional s Find the probability that the number who consider themselves basebal l eacty...

36% of women consider themselves fans of professional basebal You random y select six women and...

Twelve (12) randomly selected adults were asked how many US states they had visited and how...

Seventy-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find...

​Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly​ selected, find...

Homework Answers

Add Answer to: ​Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly​ selected, find...

Post as a guest

Earn Coins

Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly selected, find...

Add Answer to:
Sixty-five percent of men consider themselves knowledgeable soccer fans. If 12 men are randomly selected, find...