Question: Given P (A) = .70, P (B) = .30, and P (A B) 5 .00, find (a) P(A B) and (b) P(A |

Given P (A) = .70, P (B) = .30, and P (A ∩ B) 5 .00, find
(a) P(A ∪ B) and
(b) P(A | B).
(c) Sketch a Venn diagram.

Step by Step Solution

★★★★★

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a b c The inter... 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

485-M-S-P (2731).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Activity Optimistic Time Estimate (weeks) Most Likely Time Estimates (weeks) Pessimistic Time Estimates (weeks) Immediate Predecessor(s) A 3 5 10 none B 3 5 9 A C 5 7 13 A D 4 5 12 B E 5 11 16 C F 3...

Q:

A Venn diagram contains three sets, A, B, and C, as in Fig. If region V contains 4 elements and there are 12 elements in B © C,how many elements belong in region VI? Explain A, B III IV v/VI...

Q:

P (A1) 5 .20, P (A2) 5 .40, P (A3) 5 .40, P (B1A1) 5 .25, P(B1A2) 5 .05, and P(B1A3) 5 .10. Use Bayes theorem to determine P (A3B1).

Q:

Math Analysis and Approaches [Maximum mark: 6) In a class, 40 students take chemistry only, 30 take physics only, 20 take both chemistry and physics, and 60 take neither (a) Find the probability that...

Q:

Need help with the adjusting entries and entering events a-j. Pretend it is January 2021 and you have just been hired as the Controller for Water King, Inc. (WKI), a corporation that began as a...

Q:

You bought a bond 6 years ago for $3,500. it has a $4,000 face value and a nominal annual 10% bond rate, paid quarterly. you'd like to sell it now and get a nominal annual yield lf 8%. how much...

Q:

Math 245 Written Homework 4 Due May 2nd Name: 1. Suppose in an office of 80 people, 50 put creamer in their coffee and 40 take their coffee with sugar. 30 people like both creamer and sugar in their...

Q:

Question 5 - 10 marks This question is based on your work on MU123 up to and including Unit 12. You should use trigonometry, not scale drawings, to find your answers. A ship leaves a port P and sails...

Q:

It turns out that the mean, or the average, of all the sample proportions in the histogram above is 0.10. You might recall that 0.10 is p, or the population proportion. All _o_t: the sample...

Q:

please do both if you can. as soon as you can. thanks in advance! 3. Consider the same Problem 2 with performance index 1=1 / \x7(e) +zce) + u?()}dt. Design a Linear Quadratic Gaussian (LQG)...

Q:

What is "ethics?"

Q:

A table of values of an increasing function fis shown. 10 18 22 26 30 f(x) -11 -8 -2 1 5 B 14 Use the table to find lower and upper estimates for J10 lower estimate upper estimate Rx) dx. (Use five...

Q:

Question 1 1 ( 2 points ) Return on common stockholders' equity is most closely related to 1 ) gross profit rate and operating expenses to sales ratio. 2 ) profit margin and free cash flow. 3 ) times...

Q:

What antigen system is closely associated phenotypically with Rh? a. McCoy b. Lutheran c. Duffy d. LW

Q:

The Director of Planning for Devine Dining Inc. wishes to study the relationship between the gender of a guest and whether the guest orders dessert. To investigate the relationship, the manager...

Q:

Ski Resorts of Vermont Inc. is considering a merger with Gulf Shores Beach Resorts Inc. of Alabama. The board of directors surveyed 50 stockholders concerning their position on the merger. The...

Q:

A sample of students attending Southeast Florida University is asked the number of social activities in which they participated last week. The chart below was prepared from the sample data. a. What...

Q:

A stock is expected to pay a dividend of $0.75 at the end of the year. The required rate of return is rs = 8.5%, and the expected constant growth rate is g = 6.4%. What is the stock's current price?...

Q:

Steinberg Corporation and Dietrich Corporation are identical firms except that Dietrich is more levered. Both companies will remain in business for one more year. The companies' economists agree that...

Q:

in c++ please. Below I have posted the example Inputs for inputFile1.txt 1464815342.270047187805, 17.889999389648, 0.095994234085 1464815342.284098386765, 17.909999847412, 0.087267547846...