Question

Based on a poll,

6060 %

of adults believe in reincarnation. Assume that

66

adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.

a. What is the probability that exactly

55

of the selected adults believe in reincarnation?The probability that exactly

55

of the

66

adults believe in reincarnation is

0.1870.187.

(Round to three decimal places as needed.)

b. What is the probability that all of the selected adults believe in reincarnation?

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

nothing

Answer 1

n = 66

P = 0.6

= n * P = 66 * 0.6 = 39.6

= sqrt(np(1 - p))

= sqrt(66 * 0.6 * 0.4) = 3.98

A) P(X = 55)

= P(54.5 < X < 55.5)

= P((54.5 - )/< (X - )/< (55.5 - )/)

= P((54.5 - 39.6)/3.98 < Z < (55.5 - 39.6)/3.98)

= P(3.74 < Z < 3.99)

= P(Z < 3.99) - P(Z < 3.74)

= 1 - 1 = 0

B) P(X = 66)

= P(65.5 < X < 66.5)

= P((65.5 - )/< (X - )/< (66.5 - )/)

= P((65.5 - 39.6)/3.98 < Z < (66.5 - 39.6)/3.98)

= P(6.51 < Z < 6.76)

= P(Z < 6.76) - P(Z < 6.51)

= 1 - 1 = 0