MIDTERM: MATH 209 - STATISTICS Problem 5. Define () to be the value n(n – 1)/2. Calculate the following: Part A. Calculate (), ), (), (), () Part B. Calculate C) n=2 Part C. Let p = 0.5. Calculate Ep'...

Problem 5.


Extracted text: MIDTERM: MATH 209 - STATISTICS Problem 5. Define () to be the value n(n – 1)/2. Calculate the following: Part A. Calculate (), ), (), (), () Part B. Calculate C) n=2 Part C. Let p = 0.5. Calculate Ep' and (()p". i=2 Part D. Does the function f(r) = ()p for r = 1, 2 describe a finite probability distribution on the set {1, 2}? Why or why not? Part E. Out of a population of 52 people, how many possible samples of size 2 are there? Problem 6. Let A and B be two events and assume P(A) =0.35 and P(B) = 0.45. Assume further that P(A|B) = 0.80. Part A. Find P(AnB) using the general multiplication rule. Part B. Find P(AUB) using the general addition rule. Dunt C