Question: Let P(A) = 0.15, P(B) = 0.10, and P(A B) = 0.05. a. Are A and B independent events? Yes because P(A | B)

Let P(A) = 0.15, P(B) = 0.10, and P(A ∩ B) = 0.05.

a. Are A and B independent events?

Yes because P(A | B) = P(A)

Yes because P(A ∩ B) ≠ 0

No, because P(A | B) ≠ P(A)

No, because P(A ∩ B) ≠ 0

b. Are A and B mutually exclusive events?

Yes because P(A | B) = P(A)

Yes because P(A ∩ B) ≠ 0

No because P(A | B) ≠ P(A)

No because P(A ∩ B) ≠ 0

c. What is the probability that neither A nor B takes place?

Step by Step Solution

★★★★★

3.39 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a PAB so b Given for So PLA 015 PANB PB 005 PCB 010 010 050 7 PA ... View full answer

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 Accounting Questions!

Q:

During 20X1, Sanchez Company had the following transactions: a. Sold $450,000 of 10-year bonds issued by Makenzie Inc. b. Acquired land valued at $135,000 in exchange for machinery. c. Sold equipment...

Q:

Let P (A) = 0.65, P (B) = 0.30, and P (A | B) = 0.45. a. Are A and B independent events? Explain. b. Are A and B mutually exclusive events? Explain. c. What is the probability that neither A nor B...

Q:

Let P (A) = 0.15, P (B) = 0.10, and P (A B) = 0.05. a. Are A and B independent events? Explain. b. Are A and B mutually exclusive events? Explain. c. What is the probability that neither A nor B...

Q:

A quality control test has five equally likely outcomes - A, B, C, D and E. (a) What is the probability of C occurring? (b) What is the probability of A or B or C occurring? (c) What is the...

Q:

11-2B. (Risk-adjusted NPV) The Dorf Corporation is evaluating two mutually exclusive projects, both of which require an initial outlay of $125,000. Each project has an expected life of five years....

Q:

4. Let f (x ) = a. Find the equation of the tangent line of the function f at the point (4. f(4)). b. Use differentials to estimate the value of f (4.02). (6 points) 5. Use implicit differentiation...

Q:

Suppose that n points are independently chosen at random on the circumference of a circle, and we want the probability that they all lie in some semicircle. That is, we want the probability that...

Q:

Let A be a 5 3 matrix of rank 3 and let {x1,x2,x3} be a basis for R3. (a) Show that N(A) = {0}. (b) Show that if y, = Ax1, y2 = Ax2, and y3 = Ax3, then y1, y2, y3 are linearly independent. (c) Do...

Q:

Let a. Show that the set S is affinely independent. b. c. Let T be the triangle with vertices v 1 , v 2 , and v 3 . When the sides of T are extended, the lines divide R 2 into seven regions. See...

Q:

3-2. For events A and B within a sample space S, let P(A) = 0.4, P(B) = 0.3, and P(A B) = 0.1. Are events A and B mutually exclusive? Are they collectively exhaustive? Are they independent events?...

Q:

Why is there a depletion layer in the immediate vicinity of the junction? 1 [TURN OVER CST.93.1.2 SECTION B 5 Give an ML definition of the function map3 which has the property that map3 f [x1, x2, ....

Q:

What are the main attributes to look for when recruiting a new team member?

Q:

Read the Sterling Construction Company scenario below, and respond to the questions as required at the end of the scenario. On October 31, 2010, Sterling Construction Company entered into a credit...

Q:

Consider the function: f ( x ) = 1 0 x 2 2 0 4 Step 1 of 2 : Determine the intervals on which the function is concave upwards or concave downwards.

Q:

A business issued a 120-day, 5% note for $90,000 to a creditor on account. Journalize the entries to record (a) The issuance of the note and (b) The payment of the note at maturity, including...

Q:

Greg is making plans to open a new fast-food restaurant soon. He is estimating that customers will arrive randomly at a mean rate of 150 per hour during the busiest times of the day. He is planning...

Q:

Apply cluster analysis to the Excel file Sales Data, using the input variables Percent Gross Profit, Industry Code, and Competitive Rating. Create four clusters and draw conclusions about the...

Q:

Apply cluster analysis to the numerical data in the Excel file Credit Approval Decisions. Analyze the clusters and determine if cluster analysis would be a useful classification method for approving...

Q:

The Friendly Neighbor Grocery Store has a single checkout stand with a full-time cashier. Customers arrive randomly at the stand at a mean rate of 30 per hour. The service-time distribution is...

Q:

Fill in the Blank Question Fill in the blank question. Once you complete either the Myers-Briggs Type Indicator (MBTI) or Keirsey Temperament Sorter (KTS), your results provide a solid for your...

Q:

(Q 2) Suppose P( A and B )= 0.25, P( not A)= 0.30 and P ( B ) = 0.40. Find P(A) = P(either A or B ) = P ( neither A nor B ) = P( A | B ) = Are two events A and B independent? ANS. YES , NO Explain

Q:

Appendix A APPENDIX A Statistical Tables 860 Table 1 Random Numbers 860 Table 2 Standard Normal Probabilities (Cumulative z Curve Areas) 862 Table 3 t Critical Values 864 Table 4 Tail Areas for t...

Q:

Please provide excel spreadsheet detailing how you got to the multiple choice answer. I am trying to get ahead and understand each of the practiceproblems in prep for a exam so it would be very...

Q:

QUESTION 6 If event A and B are independent with P (A) = 0.25 and P (B) = 0.60, then P (AIB) is 0.15. QUESTION 7 Suppose you roll a die with the sample space S = {1,2, 3, 4, 5, 6} and you define an...

Q:

Let P (A) = 0.70, P (B | A) = 0.55, and P (B | Ac) = 0.10. Use a probability tree to calculate the following probabilities: a. P (Ac) b. P (A B) and P (Ac B) c. P (B) d. P (A | B)

Q:

Multinomial Distribution The binomial distribution applies only to cases involving two types of outcomes, whereas the multinomial distribution involves more than two categories. Suppose we have three...