Solution Found!
assume all variables are binomial. (Note: If
Chapter 5, Problem 14E(choose chapter or problem)
Problem 14E
assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)
Destination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. In a random sample of 12 couples who plan to marry, find the probability that
a. Exactly 6 couples will have a destination wedding
b. At least 6 couples will have a destination wedding
c. Fewer than 5 couples will have a destination wedding
Source: Time magazine.
Questions & Answers
QUESTION:
Problem 14E
assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)
Destination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. In a random sample of 12 couples who plan to marry, find the probability that
a. Exactly 6 couples will have a destination wedding
b. At least 6 couples will have a destination wedding
c. Fewer than 5 couples will have a destination wedding
Source: Time magazine.
ANSWER:
Solution:
Step 1 of 4:
From the given problem, we have
n = 12, p =
= 0.26
We have to assume all variables are binomial.
Then, the pmf of the binomial distribution is