Question: Let A and B be two events defined on S. If the probability that at least one of them occurs is 0.3 and the probability

Let A and B be two events defined on S. If the probability that at least one of them occurs is 0.3 and the probability that A occurs but B does not occur is 0.1, what is P (B)?

Step by Step Solution

★★★★★

3.42 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

P A B P a P b ... View full answer

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)

681-M-C-M-S (274).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Let A and B be two events defined on a sample space S such that P(A BC) = 0.1, P(AC B) = 0.3, and P((A B) C )=0.2. Find the probability that at least one of the two events occurs given that at...

Let A and B be two events such that P((A B)C )= 0.6 and P(A B)=0.1. Let E be the event that either A or B but not both will occur. Find P(E|A B).

Let A and B be any two events defined on S. Suppose that P (A) = 0.4, P(B) = 0.5, and P (A B) = 0.1. What is the probability that A or B but not both occur?

please show me the steps 1 . Which one of the following statements is true for the following observations:7, 5, 6, 4, 7, 8 and 12? V(a) The mean, median and mode are all equal. (b) Only the mean and...

Question 1 Let A and B be two events such that () > 0 and ( | ). Find probability of A and B. Question 2 : () = 0.65; () = 0.53; ( ) = 0.3 ( ) Question 3 You are asked to match three songs with the...

Please Show work Let A and B be two events defined on the same space. Assume that A and B are independent and P(A) = 0.3, P(B) = 0.2, then P(A B) is A. 0.44 B. 0.50 C. 0.56 D. 0.10 At a particular...

the data? 25. Which of the labeled points below will exert the largest leverage on a lincar model of DO B 140 130 D 120 110 100 . C 100 120 140 160 X (@) Point A (b ) Point B (c) Point C (d) Point D...

There are J arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there of the word PROBABILITY? 2. There are six men and seven women in a ballroom dancing class. If four...

Answer the following business question all parts 1. There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there of the word PROBABILITY? 2. There are six men...

ductory Statistics Third Edition Perdisco Assessment Below is a set of assessable homework questions on this topic, selected by your professor. Take care! Do not submit your answers until you have...

Do unions really derive their power mainly from their membership and labor legislation? What are some other sources of union power?

Two uniform rods, each of mass m and length L, are connected to form the linkage shown. End D of rod BD can slide freely in the horizontal slot, while end A of rod AB is supported by a pin and...

12.100 For a test of H0: p 5 .25 versus Ha: p . .25, for what range of values of the sample proportion p^ will the p-value for the test be greater than .5? Explain your answer.

Suppose the average cost of producing a kilowatthour of electricity is lower for one firm than for another firm serving the same market. Without the government granting a franchise to one of these...

Calculate P(A; ) in Example 1 if the sample size is increased from n = 2 to n = 3, the other data remaining as before. Compute P (A; 0.10) and P(A; 0.20) and compare with Example 1.

If in a single sampling plan for large lots of spark plugs, the sample size is 100 and we want the AQL to be 5% and the producers risk 2%, what acceptance number c should we choose? (Use the normal...

Graph and compare sampling plans with c = 1 and increasing values of n, say, n = 2, 3, 4. (Use the binomial distribution).

at an interest rate of 11 percent. Click the icon to view the table of or discrete compounding periods when i=11%. The savings would need to be at least $30170.6. (Round to the nearest cent as...

Mary Reid works as a financial advisor at Wells Fargo Wealth Management team. She is a big believer of the capital asset pricing model and often use it for making recommendations to her clients. One...

Three cards are dealt to the player. What are the chances of not receiving three hearts?