Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.

A bookstore experiences a mean rate of 2 customers arriving per hour. What is the probability that no customers arrive in a two-hour period?

Suppose the mean number of times per month an American worker naps on the job is eight. What is the probability that a randomly selected American worker does not take a single The mattress company Amerisleep recently conducted a survey and concluded that more than half of all Americans sleep on the job, but the type of work and salary affect how often people grab some shut eye. Suppose that the mean nap during a month? One nap? Two naps? Round to four decimal places. number of naps per month on the job by a randomly selected American worker is four. P(X = 0) = P(X = 1) = P(X = 2) =

A recent survey reported that 47​% of​ 18- to​ 29-year-olds in a certain country own tablets. What is the probability that in the next six​ 18- to​ 29-year-olds surveyed, four will own a​ tablet? Use the binomial​ distribution.