15:26 4 ES_Assignment_2_... Question 2 520 marks! A hot spring resort arrange 5 sessions of hot spring experience tour every day. In each session, there could be a maximum of 15 visitors. Each visitor can visit different hot springs in this tour. Suppose the following table represents the probability distribution function of the number of hot springs (X) a visitor visits in a tour. x P(X = x) Find the value of k. What is the probability that a visitor visits at least 2 hot springs in a tour? Find E(X) and Var(X). Suppose for every visit to a hot spring, the visitor will be offered two drinks. Use Y to denote the number of drinks a visitor receives in a tour. Calculate E (Y) and 60"). In this session, there are 15 visitors. Assume the number of visits made by visitors are independent. What is the probability that there are exactly 5 visitors visit at least 2 hot springs? For many sessions, each with 15 visitors, nd the expectation and standard deviation of the number of visitors visit at least 2 hot springs