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# These have to be done in excel with all the calculations showing.22 According to the National Marine Manufacturers Association, 50.0% of the...

Please help me with these questions. They have to be done in Excel with all the calculations.
These have to be done in excel with all the calculations showing. 6.22 According to the National Marine Manufacturers Association, 50.0% of the population of Vermont were boating participants during the most recent year. For a randomly selected sample of 20 Vermont residents, with the discrete random variable x = the number in the sample who were boating participants that year, determine the following: SOURCE: National Marine Manufacturers Association, NMMA Boating Industry Report, p. 3. a. E(x) b. P(x < 8) c. P (x = 10) d. P (x = 12) e. P(7 < x < 13) 6.30   It has been estimated that one in five Americans suffers from allergies. The president of Hargrove University plans to randomly select 10 students from the undergraduate population of 1400 to attend a dinner at his home. Assuming that Hargrove students are typical in terms of susceptibility to allergies and that the college president’s home happens to contain just about every common allergen to which afflicted persons react, what is the probability that at least 8 of the students will be able to stay for the duration of the dinner event? SOURCE:  World Almanac and Book of Facts 2006,  p. 171. 7.54   A random variable is Poisson distributed with = X 0.50 arrivals per minute. For the corresponding exponential distribution, and x = minutes until the next arrival, identify the mean of x and determine the following: a. P ( x < 0.5) b. P ( x < 1.5) c. P ( x > 2.5) d. P ( x > 3.0)

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