Based on a poll, 40% of adults believe in reincarnation. Assume that 6 adults ar

Question

Based on a poll, 40% of adults believe in reincarnation. Assume that 6 adults are randomly selected, and find the indicated probability. Complete parts (a) through (c) below. Please include work - I don't understand this!
a. What is the probability that exactly 5 of the selected adults believe in reincarnation? Round to 3 decimal places.
b. What is the probability that all of the selected adults believe in reincarnation?
c. What is the probability that at least 5 of the selected adults believe in reincarnation?

Explanation / Answer

given that 40% of adults believe in reincarnation

P(adult believe in reincarbation) = 0.4 or 40%

No fo adults chosen i.e n= 6

No of ways of chosing r objects from n objects = nCr = n!/(r!*(n-r)!)

a)

probability that exactly 5 of the selected adults believe in reincarnation = (6C5)0.45(1-0.4) = 6*0.45*0.6 = 0.037

b)

probability that all of the selected adults believe in reincarnation = 0.46 = 0.0041

c)

probability that at least 5 of the selected adults believe in reincarnation = probability that exactly 5 of the selected adults believe in reincarnation + probability that all of the selected adults believe in reincarnation

= 0.037 + 0.0041 = 0.0411

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