A study conducted by a local university found that 25 percent of college freshmen support increased spending on environmental issues. if 6 college freshmen are randomly selected…

Question

asked Jul 14, 2020 51.3k views

2 Answers

EduardoFernandes · Answer 1 · 2020-07-19T04:56:06+0000

Answer: B. .131

Explanation:

Given : The proportion of college freshmen support increased spending on environmental issues : p= 0.53

Let x be the binomial variable that represents the number of college freshmen support increased spending on environmental issues.

with parameter p = 0.25 n= 6

Using binomial , we have

P(x)=^nC_xp^x(1-p)^(n-x)

Required probability :-

$P(x=3)=^6C_3 (0.25)^3(0.75)^3\\\\=(6!)/(3!3!)(0.25)^3(0.75)^3\\\\=0.1318359375\approx0.1318$

Hence, the probability that exactly 3 support increased spending on environmental issues=0.1318