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- The Rivera Family has put up a small business, which sells cakes and pastries. It was observed that the time (in minutes) between order placements follows an exponential distribution with a rate parameter of 1/17. After receiving the first order, what is the probability that the family will have to wait: more than 23 minutes for the next order? at most 14.37 minutes for the next order? between 19.05 and 25.40 minutes for the next order?Your flight is scheduled to arrive in TPA at 10:05pm. You have estimated that the time from arrival for you to deplane, get across the airport, collect your checked bags, and make it to the train station is well described by an exponential distribution with mean 40 minutes. If the last train leaves at 11:00pm, what is the probability that you make it to the train on time if your plane arrives 10 minutes late?Suppose that the distribution of the lifespan of an item has the hazard rate function λ(t) = t3. What is the probability that: (a) the item survives to age 2? (b) a 1-year-old item will survive to age 2?
- Find marginal distributions P(x) and P(y)Complete this PDF and find the expected value of X:The Rivera Family has put up a small business, which sells cakes and pastries. It was observed that the time (in minutes) between order placements follows an exponential distribution with a rate parameter of 1/17. After receiving the first order, what is the probability that the family will have to wait: a. more than 23 minutes for the next order?b. at most 14.37 minutes for the next order?c. between 19.05 and 25.40 minutes for the next order?