Reference no: EM132248382

1.Suppose that it has been determined that the number of potholes over a particular stretch of a highway follows a Poisson distribution with an average of five potholes for every 10 km of highway.

a) If a 2-km stretch of the highway is selected, what is the probability that there will be no potholes?

b) If a 4-km stretch of the highway is selected, what is the probability that there will be at least one pothole?

2. Suppose the time until failure (in years) of a laptop computer follows an exponential distribution with a mean life of 6 years.

a) What is the median life of a laptop computer (in years)?

b) What is the probability that a laptop computer will last more than 6 years?

3.According to a survey of adults, 65% have money in a regular savings account. If we plan on surveying 40 randomly selected adults, find the mean number of adults who would have regular savings accounts.

4.In a recent survey of homes in a major city, 10% of the homes have a fax machine and 52% have a personal computer. Suppose 91% of the homes with a fax machine also have a personal computer. What percent of homes have a fax machine and a personal computer?