Question: Find P(A B) if P(A) = 0.2, P(B) = 0.4, and P(A|B)+ P(B|A)=0.75.

Find P(A ∩ B) if P(A) = 0.2, P(B) = 0.4, and P(A|B)+ P(B|A)=0.75.

Step by Step Solution

★★★★★

3.33 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Which implies ... 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

Document Format (1 attachment)

Word file Icon

681-M-C-M-S (290).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Pollution of the rivers in the United States has been a problem for many years. Consider the following events: A = (The river is polluted.} B = {A sample of water tested detects pollution.} C =...

Q:

P(A) = 0.25, P(A') = 0.75, P(B | A) = 0.3, and P(B | A') = 0.5 Use Bayes Theorem to find P(A | B).

Q:

P(A) = 0.62, P(A') = 0.38, P(B | A) = 0.41, and P(B | A') = 0.17 Use Bayes Theorem to find P(A | B).

Q:

1. The instructor's sample produces a mean number of days absent of 3.5 days. This value is an example of a: A. Parameter. B. Data. C. Statistic. D. Variable. 2. Study was done to determine the age,...

Q:

A tocks returns have the following distribution: Demand for the companys product Probability of this demand occurring Rate of return if this demand occurs Weak 0.1 - 30% Below Average 0.1 - 14%...

Q:

1. Determine if the following is a discrete probability distribution. Justify your answer. a. x P(x) 0 0.04 1 0.33 3 0.42 4 0.19 5 0.02 b. x P(x) -1 0.48 3 0.22 5 0.14 6 0.15 2. Fill out the blank to...

Q:

There are 9 more questions but I can only send them one at a time meaning I cannot move forward until that question is answered. Some questions have 1 to 5 parts to them similar to the first one Ive...

Q:

Suppose that A1, A2 , A3 , and B are events where A1 , A2 , and A3 are mutually exclusive and P (A1) =.2 P (A2) =.5 P (A3) = .3 P (B A1) = .02 P (B A2) =.05 P( B A3 )=.04 Use this information to find...

Q:

1. Given the number of trials and the probability of success, determine the probability indicated: a. n = 15, p = 0.4, find P(4 successes) b. n = 12, p = 0.2, find P(2 failures) c. n = 20, p = 0.05,...

Q:

1. Given the number of trials and the probability of success, determine the probability indicated: a. n = 15, p= 0.4, find P(4 successes) b. n = 12, p= 0.2, find P(2 failures) c. n = 20, p = 0.05,...

Q:

1. What stage of the benchmarking process is the most important for benchmarking management accounting methods? Why? 2. What is the additional cost if a unit rejected at inspection can be reworked to...

Q:

Assume that we want to register all 2-digit info on LED display every 250ms such that there will be no lost data during screening. Output stage of camera will feed transceiver unit. 88 There is a LED...

Q:

Explain the following investor types. a ) Passiive Preserver , ( 5 marks ) b ) Active Accumullator ( 5 marks )

Q:

Suppose a perfectly competitive firms demand curve is below its average total cost curve. Explain the conditions under which a firm continues to produce in the short run.

Q:

A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random sample of six houses from each neighborhood and finds their ages from...

Q:

Using the data in Exercise 2, and assuming that the data come from a distribution that is normally distributed, a) Find a 95% confidence interval for the mean difference in page views from the two...

Q:

Using the summary statistics in Exercise 3, and assuming that the data come from a distribution that is normally distributed, a) Find a 95% confidence interval for the mean difference in ages of...

Q:

Homework: Section 14.3 Homework Question 15, 14.3.QY-9 HW Score: 0%, 0 of 15 points Part 1 of 2 Points: 0 of 1 Find the range and standard deviation of the following set of data. The range is 195,...

Q:

The following table presents sales forecasts for Golden Gelt Giftware. The unit price is $40. The unit cost of the giftware is $25. Year Unit Sales 1 22,800 2 34,000 3 18,000 4 5,000 Thereafter 0 It...

Q:

RAK Co. wants to issue new 15-year bonds for some much-needed expansion projects. The company currently has 7 percent coupon bonds on the market that sell for $1,060, make semiannual payments, and...