Based on a poll, 40% of adults believe in reincarnation. Assume that 8 adults ar

mattgondek4

mattgondek4

Answered question

2021-09-29

Based on a poll, 40% of adults believe in reincarnation. Assume that 8 adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
What is the probability that exactly 7 of the selected adults believe in reincarnation?
The probability that exactly 7 of the 8 adults believe in reincarnation is ?.

Answer & Explanation

Fatema Sutton

Fatema Sutton

Skilled2021-09-30Added 88 answers

Step 1
a. Let X be the number of adults believe in reincarnation which follows binomial probability distribution with sample size 8 and probability of success 0.40.
The binomial probability distribution is,
P(X=x)=(nx)(p)x(1p)nx
In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.
Step 2
The probability that exactly 7 of the 8 adults believe in reincarnation is,
P(X=7)=(87)(0.40)7(10.40)87
=8×0.407×0.60
=0.008
Thus, the probability that exactly 7 of the 8 adults believe in reincarnation is 0.008.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school probability

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?