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1.) 39% of women consider themselves fans of professional baseball. You randomly select six women and ask each if she considers herself a fan of professional baseball.
Construct a binomial distribution using n=6 and p=0.39.

2.) 45% of men consider themselves professional baseball fans. you randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is a) exactly eight, b) at least eight, c) less than 8.

3.) Find the indicated probability using the geometric or Poisson distribution. Assume that the probability that you will make a sale on any given telephone call is 0.21. Find the probability that you will

(a.) make your first sale on your fifth call,
(b.) make your sale on the first, second or third call, and
(c.)do not make a sale on your first three calls.

4.) A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century, the mean number of major hurricanes to strike the U.S. mainland per year was about 0.5. Find the probability that in a given year a) exactly one major hurricane will strike the U.S. mainland, b) at most one major hurricane will strike the U.S. mainland, and c) more than one major hurricane will strike the U.S. mainland.

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1)

P (X = i ) =

6
i

6i

pi (1 p)

6
i

=

6i

i

(0.39) (0.61)

2)
a

P (X = 8) =

10
8

8

2

(0.45) (0.55) = 0.0229

b

10
8
2...