Find P(SN = 4) where N is a Binomial random variable with parameter r = 6 (number of times the experiment is performed) and p = .6.

For a Normal random variable X, with E(X)= 3, Var(X) = 4 Must use Standard Normal Distribuiton Table to compute the following (a) (6points) P(X4.82) (round your answer to 4 decimal places) 4

A fast-food restaurant chain has 574 outlets in the United States. The following table categorizes them by city population size and location, and presents the number of restaurants in each category. A restaurant is to be chosen at random from the 574 to test market a new menu. Round your answers to four decimal places.   Populationof City Region NE SE SW NW Under  50,000 34 31 12 2 −50,000500,000 57 89 66 32 Over  500,000 151 23 26 51             b) Given that the restaurant is located in the Southeast, what is the probability that it is in a city with a population under 50,000?

The lifetime (in years) of a washing machine from a particular company is an exponential random variable with parameter 1/5 . The company offers to replace any machine which breaks within 6 months.  (a) What proportion of machines do they need to replace. (b) What is the expected time until a customer needs to buy a new machine? (Each time the company replaces a machine which breaks within 6 months, the company agrees to replace the new machine if it breaks within 6 months.)