STAT 2501 Homework Assignment #1

From Sheldon M. Ross, do the following problems from Chapter 1 (pages 15-21): 1, 3, 4, 8, 17, 19, 23, 26, 30, 31, 37, 39, 42, 44

Also, I would like you to turn in the following problems

EP1. Suppose that A and B are events in some sample space S, where both P(A) and P(B) are greater than zero. If B occurring makes A more likely to occur, does A occurring B more likely to occur?

EP2. Consider a system that consists of > 1 components placed in parallel. An engineering system is said to be a “k-out of n” system () if the system is operational only when at least k of the components are functioning correctly. Let denote the probability that the ith components () is functioning correctly, and assume independence among the components. Give an expression for the probability that a 3-out-of-4 system is not operational (in terms of ,,, and . )