How to solve these problems? Please include specific steps and explanation of them, thank you!

. Problem 1: According to Minnesota Department of Natural Resources, among all deers harvested in Minnesota in the 2019 deer harvest season, * 86.3% were adult. * 61.4% were male, * 53.6% were adult and male. We randomly choose a deer from all deers harvested in Minnesota in the 2019 deer harvest season. (a) Find the probability that the deer was either adult or male (or both). (b) Find the probability that the deer was NOT an adult, given that it was male. (c) Are the event that the deer was adult and the event that the deer was male independent? Show your calculations. . Problem 2: During the past two NBA seasons, the Indiana Pacers player Domantas Sabonis have been awarded two free throws for a total of 273 times. Among the 192 times that he made the first free throw, he made the second free throw 132 times; among the 81 times that he missed the first free throw, he made the second free throw 63 times. (a) Complete the following contingency table: Second free throw Made Missed Total Made 132 First free throw Missed Total 273 (b) Find the overall probability that Sabonis made the second free throw. (c) Find the conditional probability that Sabonis made the second free throw, given that he had made the first free throw. (d) Based on your answers for parts (b) and (c), does the probability that Sabonis made the second free throw depend on his performance on the first free throw? Explain. . Problem 3: Let X denote the Saffir-Simpson wind scale of a United States hurricane. Based on the 1851-2018 data, the distribution of X is given as following: 2 3 4 5 P(X = 1) 0.42 0.26 0.23 0.08 0.01 (a) Hurricanes with a Saffir-Simpson wind scale of 3 or above are called major hurricanes. What proportion of the United States hurricanes are major hurricanes? (b) Find and interpret the mean of X. (c) Does the mean of a discrete random variable always have to be an integer? Explain.. Problem 4: Let Z denote the standard normal distribution /V(0, 1). Find the following probabilities using either the z-table or R. (a) P(Z > -1.35) (b) P(-0.8