Within a sample space, there are 3 possible events, X,Y and Z with the following stipulations: (i) X and Y are mutually exclusive, (ii) Y and Z are independent, and (iii) X and Z are independent. Given that P(X) = 0.2, P(Y) = 0.3, and P(Z) = 0.4 Using the information above, what is the probability that X and Y happen? (a) 0.00 (b) 0.06 (c) 0.20 (d) 0.30 (e) None of the above

Within a sample space, there are 3 possible events, X,Y and Z with the following stipulations: (i) X and Y are mutually exclusive, (ii) Y and Z are independent, and (iii) X and Z are independent. Given that P(X) = 0.2, P(Y) = 0.3, and P(Z) = 0.4 Using the information above, what is the probability that X and Y happen? (a) 0.00 (b) 0.06 (c) 0.20 (d) 0.30 (e) None of the above

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose A and B are events such that P(A) = 0.6 P(B)= 0.7 and P(A or B) = 0.8 What’s P(A) with a little c on top equal to ? What’s P(B) with a little c on top equal to? Are A and B mutually exclusive? Why or why not ? Are A and B independent ? Why or why not ?
Consider five mutually exclusive events, V, W, X, Y, and Z, respectively, where P(V) = 0.08, P(W) = 0.43, P(X) = 0.02, P(Y) = 0.41, and P(Z) = .05. What is P(W and X)?
Suppose that E and F are two events and that P(E and F) = 0.5 and P(E)=0.8. What is P(FIE)? P(FE) = (Type an integer or a decimal.)
If P (Event A)=0.2 and P(Event B)=0.3, and the two events are disjoint, then P (Event A and Event B) is?
According to Current Population Reports, published by the U.S. Census Bureau, 51.8% of U.S.adults are female, 10.2% are divorced, and 6.0% are divorced females. For a U.S. adult selected at random, letF = event the person is female, andD = event the person is divorced. (a) Obtain P(F), P(D) and P(F and D)(b) Determine P(F or D)
4. 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service, 55% have a sprinkler system. For those without a lawn service, 30% have a sprinkler system. (Note: you do NOT need to simplify these answers. However, you MUST express each in terms of the events/probability notation – e.g., P(A|B) =..) a. Draw a tree diagram to model the problem b. What is the probability that a randomly selected home has a sprinkler system? c. What is the probability that a randomly selected home with a sprinkler system has a lawn service? d. What is the probability that a randomly selected home with a lawn service has a sprinkler system? e. What is the probability that a randomly selected home has a lawn service? f. What is the probability that a randomly selected home that does not have a lawn service has a sprinkler system?
12 Given P(A and B) = 0.94, P(A) = 0.98, and P(B) = 0.96 are events A and B independent or dependent? 1) Independent 2) Dependent
If two events are mutually exclusive why is P(A and B)=0?