Question

Based on a poll ,60% of adults beleive in reincarnation. Assume that 5 adults are randomly selected , and find the indicated probability. What is the probability that all of the selected adults beleive in reincarnation?

Answer 1

Let , x be the number of adults who beleive in reincarnation

Here , X has binomial distribution with parameter n=5 and p=60%

Therefore , the PMF of X is ,

; x=0,1,2,........,n amd q=1-p

=0 ; otherwise

Now ,

Therefore , the probability that all of the selected adults beleive in reincarnation is 0.0778