Events X and Y are such that P(X ) = 0.5, P(Y ) = 0.6 and P(X

Question:

Events X and Y are such that P(X ) = 0.5, P(Y ) = 0.6 and P(X ∩ Y ) = 0.2.

a. State, giving a reason, whether events X and Y are mutually exclusive.

b Using a Venn diagram, or otherwise, find P(X ∪ Y ).

c. Find the probability that X or Y, but not both, occurs

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

ISBN: 9781108407304

1st Edition

Authors: Dean Chalmers, Julian Gilbey

See More Books

Question Posted: Sep 13, 2021 01:31 AM

See More Questions

The probabilities of two events X and Y are 0.4 and 0.6 respectively. The conditional probabilities of three other events A, B and C occurring, given that X or Y has already occurred, are: What are...
Variables x and y are such that y = e 2x + e -2x . a. Find dy/dx. b. By using the substitution u = e 2x , find the value of y when dy/dx = 3. c. Given that x is decreasing at the rate of 0.5 units s...
Variables x and y are such that y = (x -3) ln(2x 2 + 1). i. Find the value of dy/dx when x = 2. ii. Hence find the approximate change in y when x changes from 2 to 2.03.
What are the Marketing Cost Estimates of Pepsi Company? Marketing estimates, in 2013-2019? It can be write in a paragraph and explain it statistically.
A 0.664 M solution of NaCl has an initial volume of 2.55 L. What is the final concentration of the solution if it is diluted to 3.88 L?
Osby Company issued bonds with a face value of $100,000 on January 1, 2013. The bonds had a 7 percent stated rate of interest and a six-year term. The bonds were issued at face value. Interest is...
A smart contract is a computerized transaction protocol that executes the terms of a contract. The general objectives are to satisfy common contractual conditions (such as payment terms, liens,...
Now Glinda and Elphaba are even more confused than before. They have three distinct options: to create a package on their own, buy commercial off-the-shelf software such as QuickBooks Pro, or...
6. If the tangent to the curve y = x at the point P(t, t) meets the curve again at Q, then the ordinate of the point which divides PQ internally in the ratio 1:2 is: (a) 0 7. (b)-t The system of...
The following program is a mutual exclusion protocol for two processes due to Pnueli [1]. There is a single shared variable s which is either 0 or 1, and initially 1. Besides, each process has a...
Praveen wants to speak on the telephone to his friend. When his friends phone rings, he answers it with constant probability 0.6. If Praveens friend doesnt answer his phone, Praveen will call later,...
Maria chooses toast for her breakfast with probability 0.85. If she does not choose toast then she has a bread roll. If she chooses toast then the probability that she will have jam on it is 0.8. If...
"You're still a student, but when you tell me about all the problems new product managers have putting together financial worksheets you sound like the people we have around here. They complain that...
2. a. Write a C program to calculate and display the coordinates of the midpoint of the line segment connecting the points (3, 4) and (10, 12). Use the fact that the coordinates of the midpoint...
How do you think health information management can support transitions in care? Give a couple of examples of how data following the patient through transitions in care can lead to improved outcomes...
Mr . Oliver s income is subject to federal, state, and city taxes. The tax rates are: Federal: 4 0 % of taxable income after deducting state and city taxes. State: 2 0 % of taxable income after...
How does the concept of concurrency control manifest in database systems, particularly in multi-user environments? Discuss concurrency control mechanisms such as locking, optimistic concurrency...
Gabrielle saved $200 at the end of every month for 6 years in her bank account that earned 4.40% compounded monthly. a. What is the accumulated value of her savings at the end of the period?
Saccharin, an artificial sweetener, is about 300 times sweeter than sucrose. Describe how saccharin could be prepared, using benzene as the starting material. NH saccharin
A statistical study shows that the fraction of television sets of a certain brand that are still in service after x years is given by f (x) = e-0.15x. (a) What fraction of the sets are still in...
The first four terms of a geometric progression are 0.5, 1, 2 and 4. Find the smallest number of terms that will give a sum greater than 1000 000.
Find the sum of all the integers between 100 and 300 that are multiples of 7.
The diagram shows a metal plate consisting of a rectangle with sides xcm and rcm and two identical sectors of a circle of radius rcm. The perimeter of the plate is 100 cm. a. Show that the area, Acm...
ABC Ltd managed to increase the number of days payable outstanding from DPO0 = 30 days to DPO1 = 40 days. If the Cost of Goods Sold remain unchanged (COGS0=COGS1= $500). What will be the impact of...
How does the use of recurrent symbols contribute to the establishment of cohesive thematic threads throughout a body of work ?
Given the matrices A B = , , = = = 122 011 1 0 1 120 1 1 1 1 2 1 1 0 1 X c x y z and (a) find (i) AB, (ii) (AB) T and (iii) BT AT ; (b) pre-multiply each side of the equation BX = c by A.

Events X and Y are such that P(X ) = 0.5, P(Y ) = 0.6 and P(X

Question:

Step by Step Answer:

a No events X and Y are not mutually exclusive because the intersection of ...View the full answer

Cambridge International AS & A Level Mathematics Probability & Statistics 1 Coursebook

Students also viewed these Mathematics questions