Part 3 of 4
Based on a poll, $40 \%$ of adults believe in reincarnation. Assume that 5 adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
a. What is the probability that exactly 4 of the selected adults believe in reincarnation?
The probability that exactly 4 of the 5 adults believe in reincarnation is 0.077 . (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 0.010 . (Round to three decimal places as needed.)
c. What is the probability that at least 4 of the selected adults believe in reincarnation?
The probability that at least 4 of the selected adults believe in reincarnation is $\square$. (Round to three decimal places as needed.)
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Answer
Final Answer: The probability that at least 4 of the selected adults believe in reincarnation is \(\boxed{0.087}\).
Step 1 ：The question asks for the probability that at least 4 of the selected adults believe in reincarnation. This means we need to find the probability that exactly 4 or all 5 of the selected adults believe in reincarnation. We already have the probabilities for these two scenarios from parts a and b of the question.
Step 2 ：We can simply add these two probabilities to get the final answer. The probability that exactly 4 adults believe in reincarnation is 0.077 and the probability that all 5 adults believe in reincarnation is 0.01.
Step 3 ：Adding these two probabilities gives us \(0.077 + 0.01 = 0.087\).
Step 4 ：Final Answer: The probability that at least 4 of the selected adults believe in reincarnation is \(\boxed{0.087}\).
