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

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
:

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