Based on a poll, 50% of adults believe in reincarnation. Assume that 7 adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.
a. What is the probability that exactly 6 of the selected adults believe in reincarnation?
The probability that exactly 6 of the 7 adults believe in reincarnation is
(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
(Round to three decimal places as needed.)
c. What is the probability that at least 6 of the selected adults believe in reincarnation?
The probability that at least 6 of the selected adults believe in reincarnation is
(Round to three decimal places as needed.)
d. If 7 adults are randomly selected, is 6 a significantly high number who believe in reincarnation?
A. No, because the probability that 6 or more of the selected adults believe in reincarnation is greater than 0.05.
B. Yes, because the probability that 6 or more of the selected adults believe in reincarnation is less than 0.05.
c. Yes, because the probability that 6 or more of the selected adults believe in reincarnation is greater than 0.05.
D. No, because the probability that 6 or more of the selected adults believe in reincarnation is less than 0.05.