Question: Let A and B be two events such that a. Find P(A B). b. Find P(A c B). c. Find P(A B). d.

Let A and B be two events such thatP(A) = 0.4, P(B) = 0.7,P(AUB) = 0.9

a. Find P(A ∩ B).

b. Find P(Ac ∩ B).

c. Find P(A −B).

d. Find P(Ac −B).

e. Find P(Ac ∪ B).

f. Find P(A ∩ (B ∪ Ac)).

P(A) = 0.4, P(B) = 0.7,P(AUB) = 0.9

Step by Step Solution

★★★★★

3.37 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Lets use the properties of probability to find the answers to the questions a To find PA n B you can ... 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 Introduction To Probability Statistics Questions!

Q:

Use the diagram and the given information to find the unknown length. Given A CB DE BA EF B 6 C. find BA. D 4 E 7 F

Q:

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).

Q:

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...

Q:

1. [-/3.57 Points] DETAILS TANFIN12 7.5.002. 0/3 Submissions Used MY NOTES PRACTICE ANOTHER Let A and B be two events in a sample space S such that P(A) = 0.5, P(B) = 0.5, and P(A n B) = 0.18. Find...

Q:

1. Let X be a discrete random variable that may assume values x = 0; 1; 2 respectively with probabilities p1; 0:5; p2. Which values of p1 and p2 define a probability distribution? A p1 = 0.5 and p2 =...

Q:

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...

Q:

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...

Q:

14. At the local university a survey was being done on whether or not the students liked the cafeteria food. The survey was located in the college newspaper and was to be filled out and sent to the...

Q:

In my case R=1 Question 1 (25 marks) (a) Let A and B be two events. Given the following probabilities for these events: P(A) =0.75, P(B|A) =0.6 and P(BA) =0.1. (i) What is the probability of P(BriA)...

Q:

Let A and B be two events Suppose that P A 0 38 and P B 0 44 a Find P AorB given that A and B are independent b Find P AorB given that A and are mutually exclusive a X Espa ol 5

Q:

Calculate the total amount of and and the amount of each micro constituent in a Pb-50% Sn alloy at 182 C. What fraction of the total in the alloy is contained in the eutectic micro constituent?

Q:

21. What organelle that holds water, food and waste materials? a. Cell Wall 22. This mode of reproduction in plants is possible when spores come out from the sporangium and carried by wind or water....

Q:

Reread the Management Focus, Lincoln Electric and Culture and then answer the following questions: a. To what extent is the organizational culture of Lincoln Electric aligned with the firms strategy?...

Q:

3. What are the roles of a mission statement and a vision statement in the corporate planning process? (LO2)

Q:

Among 100 fish caught in a large lake, 18 were inedible due to the pollution of the environment. If we use \(\frac{18}{100}=0.18\) as an estimate of the corresponding true proportion, with what...

Q:

In an experiment, 85 of 125 processors were observed to process data at a speed of 4,700 MIPS. If we estimate the corresponding true proportion as \(\frac{85}{125}=0.68\), what can we say with \(99...

Q:

In a random sample of 140 observations of workers on a site, 25 were found to be idle. Construct a \(99 \%\) confidence interval for the true proportion of workers found idle, using the large sample...

Q:

QUESTION 1 (a) Define the term Distributed System and state four important consequences of that definition. Express in your own words the main goal of a Distributed System. (b) State three...

Q:

For each of the following costs, identify the cost behavior as variable, mixed, or fixed: 1. Wages of assembly line workers _________________ 2. President's salary _________________ 3. Plant...

Q:

name some of the websites where we can solve python codes in online for companies for college student