Binomial Distributions
Part I. Solve the following using the formula.
Name_____________________
1. About 35% of all U.S. households have a cellular phone. If you called 7 households,
what’s the probability that
a. every household had a cellular phone?
b. exactly 4 households had a cellular phone?
c. fewer than 2 households had a cellular phone?
d. at least 6 households had a cellular phone?
e. at least 1 household had a cellular phone?
2. The hooking mortality rate in Manitoba northern pike is about 5%. Suppose that anglers
caught and released 16 northern pike in Manitoba. What is the probability that
a. none of the fish died?
b. less than 3 of the fish died?
c. all of the fish lived?
d. at least one fish died?
e. at most two fish died?
3. About 75% of all marketing personnel are extroverts. What’s the probability that in a
sample of 5, exactly 4 are extroverts?
4. About 48% of all students get detention. What’s the probability that in a sample of 6, at
least 2 have had detention?
5. About 87% of all people have a radio. What’s the probability that in a sample of 8, more
than 5 have a radio?
6. The percentage of American men who say they would marry the same woman if they had
it to do all over again is 80%. What’s the probability that in a sample of 25,
a. exactly 17 would marry the same woman.
b. more than 22 would marry the same woman.
c. at most 4 would marry the same woman.
d. at least 20 would marry the same woman
7. About 30% of all business men wear ties. Find the probability that in a sample of 10
business men,
a. at least 4 wear ties.
b. more than 8 wear ties?
c. exactly 7 ear ties?
d. at least 1 wears a tie?
e. fewer than 3 wear a tie?