Be sure to round answers to at least two decimals Suppose we

Be sure to round answers to at least two decimals!

Suppose we are flipping a fair coin (i.e., probability of heads = .5 and probability of tails = .5). What is the probability that in a sample of 5 flips, all 5 will be heads?

Solution

Be sure to round answers to at least two decimals!

Suppose we are flipping a fair coin (i.e., probability of heads = .5 and probability of tails = .5). What is the probability that in a sample of 5 flips, all 5 will be heads?

p=0.5

n=5

Binomial distribution used.

P(X=x) = (_nC_x) p^x (1-p)^n-x   

P(X=5) = (₅C₅) 0.5⁵ (1-0.5)^5-5   

P(X =5) = 0.0313

Answer P =0.03 ( two decimals)