C) Find the probability that exactly eight climbers reach the summit, given that more than 7 reach the summit. Round to 4 decimal places. D) Find the expected value and standard deviation of the number of climbers that reach the summit. Round to 2 decimal places. Question 3 Suppose the number of presents that Santa Claus leaves under Christmas trees is Poisson distributed, with a mean 0f5.2 presents per house. A) Find the probability that he leaves exactly six presents under a tree. Round to 4 decimal places. B) Find the probability that he will leave one or five presents under a tree. Round to 4 decimal places. C) Find the probability that he will leave at least two presents under a tree' Round to 4 decimal places. C) Find the probability that he will leave at least two presents under a tree' Round to 4 decimal places. D) Find the expected value and standard deviation of the number of presents that he will leave under each tree. Round to 3 decimal places. (You do not need to derive these results from scratch. Recall what was presented in the Lesson.) M Suppose the lifespan of polar bears follows the following probability distribution: 1 _ 1 m): e 15 forx>0 0. otherwise C) Find the probability that a college student earns either less than $835 or more than $1037. Round to 4 decimal places. D) Find the probability that a college student earns more than $647, given that they earned less than $795. Round to 4 decimal places. Area Table IV Standard Normal DistributionQuestion 4 Suppose the lifespan of polar bears follows the following probability distribution: 0, otherwise 1 -1 f(x)={e 15 forx>0 A) Find the probability that a polar bear lives between 13 and 17 years. Round to 4 decimal places. B) Find the probability that a polar bear lives at least 18 years. Round to 4 decimal places Question 2 Of those mountain climbers who attempt to climb Mt. McKinley, we know 80% reach the summit (top of the mountain). Suppose that the attempts are independent and that 10 climbers attempt to reach the summit. A) Find the probability that exactly 5 climbers reach the summit. Round to 4 decimal places. B) Find the probability that no more than 8 climbers reach the summit. Round to 4 decimal places. (To make the work easier, use the idea of complement.) Question 5 Suppose monthly earnings during the school year for college students is normally distributed with a mean of $900 and a standard deviation of $100 A) Find the probability that a college student earns less than $965 Round to 4 decimal places. B) Find the probability that a college student earns more than $742. Round to 4 decimal places. C) Find the probability that a college Student earns either less than $835 or more than $1037l Round t0 4 decimal places