Based on a poll, 40% of adults believe in reincarnation. Assum e that 6 adults a

Question

Based on a poll, 40% of adults believe in reincarnation. Assum e that 6 adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below a. What is the probability that exactly 5 of the selected adults believe in reincarnation? The probability that exactly 5 of the 6 adults believe in reincarnation is 0.037 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 0.004 Round to three decimal places as needed.) c. What is the probability that at least 5 of the selected adults believe in reincarnation? The probability that at least 5 of the selected adults believe in reincarnation is Round to three decimal places as needed.)

Explanation / Answer

Solution:- Given that p = 0.40, n = 6

c. The probability that at lest 5 of the selected adults believe in reincarnation is 0.041
P(X >= 5) = P(5) + P(6) = 0.037 + 0.004 = 0.041

Formula P(X = r) nCr*p^r*(1-p)^(n-r)

  

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