Question

Based on a​ poll, 50​% of adults believe in reincarnation. Assume that 6 adults are randomly​ selected, and find the indicated probability. What is the probability that all of the selected adults believe in​ reincarnation?

Answer 1

a)0.25

b)0.063

c)0.313

d)Yes​, because the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05.

Explanation:

Probability nation is that adult believe in reincarnation

Therefore,

Using binomial distribution

Where

a) When r=3

The probability that exactly 3 of the 4 adults believe in reincarnation is

0.25

b) Now,

The probability that all of the selected adults believe in reincarnation is

. 0.063

c) In this case atleast 3 will believe therefore

The probability that at least 3 of the selected adults believe in reincarnation is 0.313

d)Yes​, because the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05 i.e 0.313.