Question

Based on a​ poll, 50​% of adults believe in reincarnation. Assume that 7 adults are randomly​ selected, and find the indicated probability. Complete parts​ (a) through​ (d) below. a. What is the probability that exactly 6 of the selected adults believe in​ reincarnation? The probability that exactly 6 of the 7 adults believe in reincarnation is

Answer 1

Let X be a random variable which represent the number of adults which belives in reincarnation among 7 selected adults .

we know 50% adults belive in reincarnation . Therfore

X follows binomial distribution with parameter n=7 and P=0.5

​​​​​Therfore the pmf of X is

The probability that exactly 6 of 7 adults believe in reincarnation is

   = 0.0547

above solution is correct with full explaination so please rate me high .