Please answer the full question Based on a poll, 50% of adults believe in reinca
ID: 3043718 • Letter: P
Question
Please answer the full question
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
6
adults are randomly selected, is
a significantly high number who believe in reincarnation?
A.
No,
because the probability that or more of the selected adults believe in reincarnation is greater
than .
B.
No, because the probability that or more of the selected adults believe in reincarnation is less
than .
C.
Yes, because the probability that or more of the selected adults believe in reincarnation is
greater than .
D.
Yes, because the probability that
or more of the selected adults believe in reincarnation is less than .
Explanation / Answer
Solution
(a) p(reincarnation) = 0.5 and n= 7
Let X be the number of adults who believe in reincarnation
P(X=6) = 7C6(0.5)6(0.5) = 0.055
(b) P(X=7) = 7C7(0.5)7 = 0.008
(c) P(X>=6) = P(X=6)+P9X=7) = 0.055+0.008 = 0.063
(d) No,because the probability that or more of the selected adults believe in reincarnation is greater than .