Question

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.
a. 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
(Round to three decimal places as needed.)

Answer 1

Answer:

The probability under the given conditions is found:

P(7) = 0.079

Step-by-step explanation:

Let x be the number of adults who believe in reincarnation.

Adults randomly selected = 8

percentage of adult believe in reincarnation = 40% = 0.4

x follows binomial distribution:

P(x) =  $\left(\begin{array}{ccc}n\\x\end{array}\right) (p)^x(1-p)^{n-x}$

where

n= total people random people selected = 8,

x = selected for the part = 7,

p = probability given = 0.4

P(7) = $\left(\begin{array}{ccc}8\\7\end{array}\right) (0.4)^7(1-0.4)^{8-7}$

P(7)= (8)(0.0164)(0.6)

P(7) = 0.07872

Rounding off to 3 decimal positions

P(7) = 0.079