Sections: 6, 7, 8, 10, 13, 14 in the Probability and Statistics module Problem #1: Consider a population of moose that grows according to Pr+1 = Pr + It, where I, = 16 with a 42% chance and If = 0 with a 58% chance, and t is measured in years. Suppose that initially there are 100 moose. Define X to be the number of moose after three years. (a) Determine the probability mass function, p(x), for X. What is the value of p(132)? (b) Determine the cumulative distribution function, F(x), for X. What is the value of F(125)? Problem # 1(a): answer correct to 4 decimals Problem # 1(b): answer correct to 4 decimals Just Save Submit Problem #1 for Grading Problem #1 |Attempt #1 Attempt #2 Attempt #3 Your Answer: |1(a 1(a) 1(a) |1(b) 1(b) 1(b ) Your Mark: |1(a) 1(a) 1(a) 1(b) 1 ( b ) 1 (b Problem # 2: Suppose that if a certain virus is present in a population, it will be present the following month with probability 0.8 and if the virus is absent from the population, it will be absent the following month with probability 0.3. If the virus is currently absent from the population, what is the probability that it appears exactly once in the next 2- month period? Problem # 2: Just Save Submit Problem #2 for Grading Problem #2 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #3: Sunnose that the probability mass function for a discrete random variable X is given by 68% 15CAB O F11 F12 15 insen F5 F6 F7 F8 F9 F10 F4 F1 F2 F3 8 S 5 6 8 9 CO 2 P W E R m S D G H K - M X C V B N