Based on a poll, 40% of adults believe in reincarnation. Assume that 4 adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below. Required:a. The probability that exactly 3 of the 4 adults believe in reincarnation is? b. The probability that all of the selected adults believe in reincarnation is? c. The probability that at least 3 of the selected adults believe in reincarnation is? d. If 4 adults are randomlyselected, is 3 a significantly high number who believe inreincarnation?

Complete Question

The complete question is shown on the first uploaded image

a

b

c

d

   option C is correct

Step-by-step explanation:

From the question we are told that

      The probability of success is  p =  0.4

      The sample size is n=  4

 This adults believe follow a binomial distribution is because there are only two outcome one is an adult  believes in  reincarnation and the second an adult does not believe in reincarnation

  The probability of  failure is mathematically evaluated as

substituting values

Considering a  

The  probability that exactly 3 of the selected adults believe in reincarnation is mathematically represented as

substituting values

Here means  4  combination 3 . i have calculated this using a calculator and the value is  

So

Considering b

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

substituting values

Here means  4  combination  . i have calculated this using a calculator and the value is  

so

=>      

Considering c

the probability that at least 3 of the selected adults believe in reincarnation is mathematically represented as

substituting values

From the calculation the probability that all the 4 randomly selected persons believe in reincarnation is  

But the the probability of 3 out of the 4 randomly selected person believing in reincarnation is

Hence 3 is not a  significantly high number of adults who believe in reincarnation because the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05.

where is the rest of the

step-by-step explanation:

the answer is a

step-by-step explanation: