stat problem

For each of the following problems use a named distribution. TO RECEIVE FULL CREDIT - dene the random variable that you are using - tell what kind of distribution it has - including parameters - and what probabilityfexpectation you are calculating to answer the question You do need to calculate the probabilities unless otherwise stated! You go to Cherry Springs State Park to stargaze. Suppose that shooting stars appear according to a Poisson Process at a rate of 5 per hour. 1. What is the probability that it will be at least 15 minutes before you see the rst shooting star? 2. Give an expression {in integral form} for the probability that the seventh shooting star appears in less than 40 minutes. [You do not have to evaluate it!) 3. Suppose that exactlyr one shooting star appeared during the rst 20-minute period. Let X be the time at which the star appeared during that period. What is P (5 e: X s: 17)