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the binomial distribution with n = 15 and p =0.3.

(a)    What is the probability that exactly 3 members of the committee are Hispanic?

(b)    What is the probability that 3 or fewer members of the committee are Hispanic?

5.6 A university that is better known for its basketball program than for its

academic strength claims that 80% of its basketball players get degrees. An investigation examines the fate of all 20 players who entered the program over a period of several years that ended 6 years ago. Of these players, 11 graduated and the remaining 9 are no longer in school. If the universitys claim is true, the number of players who graduate among the 20 studied should have the B (20, 0.8) distribution.

(a)    Find the probability that exactly 11 of the 20 players graduate.

(b)    Find the probability that 11 or fewer players graduate. This probability is so smali that it casts doubt on the university s claim.

5.7    (a) What is the mean number of Hispanics on randomly chosen

committees of 15 workers in Exercise 5.5?

(b)    What is the standard deviation er of the count X of Hispanic members?

(c)    Suppose that 10% of the factory workers were Hispanic. Thenp = 0.1.

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