Based on a poll, 5050% of adults believe in reincarnation. assume that 44 adults are randomly selected, and find the indicated probability. complete parts (a) through (d) below.a. what is the probability that exactly 33 of the selected adults believe in reincarnation? the probability that exactly 33 of the 44 adults believe in reincarnation is
Accepted Solution
A:
To solve this problem, we use the formula for binomial
probability:
P = [n! / (n – r)! r!] p^r * q^(n – r)
where,
n = total number of adults = 4
r = number of adults who believe in reincarnation = 3
p = chance of believing in reincarnation = 50% = 0.50
q = 1 – p = 0.50
P = [4! / (4 – 3)! 3!] 0.50^3 * 0.50^(4 – 3)
P = 0.25 = 25%