Question: Suppose A , B , C are three non-empty events such that P ( A ) = 0.5, P ( B ) = 0.7, P

Suppose A, B, C are three non-empty events such that P (A) = 0.5, P(B) = 0.7, P(C) = 0.35. Answer the following questions and SHOW all your reasoning.

1 intersection lower bound2 Points

What is the smallest that P (A B) can be? answer below, along with your explanation.

2. What is the largest that P (A B) can be? answer below, along with your explanation.

3 intersection of 3 2 Points

What is the smallest that P (A B C ) can be? answer below, along with your explanation.

4 intersection of all three 2 Points

What is the largest that P (A B C) can be? answer below, along with your explanation.

5 independent 2 Points

Suppose that A is a subset of B. Is it possible for A and B to be independent? Why or why not? Show your reasoning below.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Journal of Autism and Developmental Disorders, Vol. 32, No. 3, June 2002 ( 2002) Descriptive Epidemiology of Autism in a California Population: Who Is at Risk? Lisa A. Croen,1,3 Judith K. Grether,1...

Your job is to review the following risk register and to prepare a list of corrections that includes several discrepancies. Please list at least 10 errors with an explanation for each as to why you...

Please answer Step 1 to Step 4 Step 1 - Understanding the Model: There are two datasets. diamonds?contains the data used to build the regression model. new diamonds contains the data for the diamonds...

(7) Suppose that A and B are mutually exclusive events for which P( A) = 0.5, P(B) = 0.3. What is the probability that (a) either A or B occurs; (b) A occurs but B does not; (c) both A and B occur?...

1 Due September 6 Problems 1.20, 1.26, 1.30 from the textbook Add-on sketch of a proof of existence of a set which is not Lebesgue-measurable. The original example is due to G. Vitali. Let = [0, 1);...

1. A warehouse contains 6 computer printers, 4 of which are defective. A company randomly selects 3 of the 6 printers to purchase. Let the random variable k be the number of defective printers in the...

1. What probability rule applies to this scenario? If 58% of the stats studs surveyed have "t-rex" arms, what the the probability that a randomly chosen stats stud would not have "t-rex" arms? A.#3...

1. Let A and B two events such that P( A) = 0.75, P(B) = 0.35, and P( A and B ) = 0.25 . (2 pts each) 3. Assume that the lengths of pregnancy for humans is approximately normally distributed, with a...

Consider Case 3 of Albion Computers PLC discussed in the chapter. Now, assume that the pound is expected to depreciate to $1.50 from the current level of $1.60 per pound. This implies that the pound...

Imagine that the policy and procedures you developed have been adopted and implemented in your company/agency/firm. Draft audit procedures to test the efficacy of your procedures. Draft audit...

3. You can use the SQL statement to add a record to a database. a. ADD b. ADD INTO c. APPEND d. INSERT

Penny, a senior vice president at Wholesale Foods LLC, sends a contract to Green Foods, Inc., one of its primary suppliers, containing the terms to purchase a new line of foods from Green. Green...