a.) Select 3 integers from {1, 2, 3, ..., 49, 50} without replacement. Let X be the number ofintegers less than or equal to 15 in the selection. How is X distributed?b.) Select 3 integers from {1,2,3,..., 49, 50} with replacement. Let X be the number ofintegers less than or equal to 15 in the selection. How is X distributed?c.) The moment generating function for W isHow is W distributed?M(t) =under central limit theorem?d.) Let X₁,..., X50 be a random sample of independent Poisson distributions with λ = 2.What is the exact distribution ofG ==G =(.7et) 10[1.3et] 10=e.) Let X₁,..., X50 be a random sample of independent Poisson distributions with λ = 2.What is the approximate distribution ofX₁ ++ X5050X₁ ++ X5050

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Select 3 integers from {1,2,3,..., 49, 50} without replacement. Let X be the number of integers less than or equal to 15 in the selection. How is X distributed? ) Select 3 integers from {1,2,3,..., 49, 50} with replacement. Let X be the number of integers less than or equal to 15 in the selection. How is X distributed? ) The moment generating function for W is M(t) = How is W distributed? = (.7e¹) 10 [1 - .3et] ¹⁰