4. Classification In a population of four classes of individuals, the proportion of individuals of Class i isp, for i = 1,2,3,4. Suppose you sample independently from this population, and suppose the sample size is a Poisson random variable with parametern for a fixed positive integer n. a) What is the probability that the sample contains at least one individual from each class? b) Let p = for i = 1,2,3,4. Plot a graph of your answer as a function of n forn in the range 1 through 60. For an example of a calculation of probabilities accompanied by a plot, see Section 1.4 of the text. c) Still assuming P = for i = 1, 2, 3, 4, find a decimal value for the chance that you get at least two of each kind of individual if the parameter is n = 50. [ ]: Answer to 4b def p_at_least_one(n): nI ]: #Answer for de 4. Classification In a population of four classes of individuals, the proportion of individuals of Class i isp, for i = 1,2,3,4. Suppose you sample independently from this population, and suppose the sample size is a Poisson random variable with parametern for a fixed positive integer n. a) What is the probability that the sample contains at least one individual from each class? b) Let p = for i = 1,2,3,4. Plot a graph of your answer as a function of n forn in the range 1 through 60. For an example of a calculation of probabilities accompanied by a plot, see Section 1.4 of the text. c) Still assuming P = for i = 1, 2, 3, 4, find a decimal value for the chance that you get at least two of each kind of individual if the parameter is n = 50. [ ]: Answer to 4b def p_at_least_one(n): nI ]: #Answer for de