SOLUTION: Suppose probability to support Hillary Clinton is 0.49. Then, in sample of 7 people, find the probability that all support Hillary? Exactly one person in a sample of 7 people who s
Algebra ->
Probability-and-statistics
-> SOLUTION: Suppose probability to support Hillary Clinton is 0.49. Then, in sample of 7 people, find the probability that all support Hillary? Exactly one person in a sample of 7 people who s
Log On
Question 1115483: Suppose probability to support Hillary Clinton is 0.49. Then, in sample of 7 people, find the probability that all support Hillary? Exactly one person in a sample of 7 people who support Hillary? (joint event? think multiplication rule?) Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! use the binomial probability formula
:
Probability (P) (k successes in n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n!/(k!*(n-k)!)
:
for this problem n=7 and p=0.49
:
P ( 7 people support Hillary out of 7 people) = 7C7 * (0.49)^7 * (1-0.49)^(7-7) = 0.0067
:
P (1 person supports Hillary out of 7 people) = 7C1 * (0.49)^1 * (1-0.49)^(7-1) = 0.0603
: