Binomial Distributions



Binomial Distributions Name_____________________

Part I. Solve the following using the formula.

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 23 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?

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