# Question: The sample space of a random experiment

The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2, respectively. Let A denote the event {a, b, c}, and let B denote the event

{c, d, e}. Determine the following:

(a) P (A) (b) P (B)

(c) P (A’) (d) P (A U B)

(e) P (A ∩ B)

{c, d, e}. Determine the following:

(a) P (A) (b) P (B)

(c) P (A’) (d) P (A U B)

(e) P (A ∩ B)

**View Solution:**## Answer to relevant Questions

A part selected for testing is equally likely to have been produced on any one of six cutting tools. (a) What is the sample space? (b) What is the probability that the part is from tool 1? (c) What is the probability that ...Orders for a computer are summarized by the optional features that are requested as follows: Proportion of orders No optional features 0.3 One optional feature 0.5 More than one optional ...Samples of a Fast aluminum part are classified on the basis of surface finish (in micro inches) and edge finish. The results of 100 parts are summarized as follows: Edge finish Excellent Good Surface ...Cooking oil is produced in two main varieties: mono-and polyunsaturated. Two common sources of cooking oil are corn and canola. The following table shows the number of bottles of these oils at a supermarket:A lot contains 15 castings from a local supplier and 25 castings from a supplier in the next state. Two castings are selected randomly, without replacement, from the lot of 40. Let A be the event that the first casting ...Post your question