Question: a. It is always true, for any events A, B, that P(A B) < P(A) + P{B). Why? Explain briefly with words or a

a. It is always true, for any events A, B, that P(A  B) < P(A) + P{B). Why? Explain briefly with words or a very clear picture.
b. Is it always true that P(A  B  C) < P{A) + P(B) + P(C)?. If so, explain why, either using words or a very clear picture. If not, please give a counterexample.

Step by Step Solution

★★★★★

3.45 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Yes P A B P A P B P A B and P A B 0 b Yes P A B C P A P B P C 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)

760-M-S-P (5985).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Are the following statements true or false? (a) If a fair coin is tossed three times, the probability of obtaining two heads and one tail is the same as the probability of obtaining one head and two...

For any sequence of events {Xn}, n ( 1, show that POlin n.sup An) = 0.

Give an example to show that (a / b) = a/b

THE UNIVERSITY OF SYDNEY MATH3066 ALGEBRA AND LOGIC Semester 1 2017 First Assignment This assignment is worth 15% of the overall assessment. Full marks may be obtained by achieving 60 marks (though...

OBLIGATIONS AND CONTRACTS (Arts. 1169-1178, Civil Code of the Philippines) Questions: 1. B and C entered into a contract wherein B would deliver to C 10 cases of softdrinks on March 30, 2022. B...

QUESTION 1 Let A and B be independent events.Which of the following is always TRUE for these events? A.P(A and B) = P(A) P(B) B.P(A or B) = P(A) + P(B) C.P(A given B) = P(B) D.All of the above are...

need help with the following questions: Problem 1) Let A = {x, y, z} and B = {p, r}. How many functions are there from A to B? Problem 2) Let f : (R R +) R be a function given as f(x, y) = |2x| 3y...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Algorithms in Artificial Intelligence (or, the old name: Introduction to Algorithmic Decision Making) Part 1 Based on slides by David Sarne and Lirong Xia Course Tentative Schedule Introduction...

The new line character is utilized solely as the last person in each message. On association with the server, a client can possibly (I) question the situation with a client by sending the client's...

Banked Cone I A curve with a 120-m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s. what is the minimum coefficient of static...

Show the blocking scheme for a 27 factorial experiment in eight blocks of size 16 each, using ABCD, CDEFG, and BDF as defining contrasts. Indicate which interactions are completely sacrificed in the...

Write a 1 - 2 page report on DevOps and the strong affinities with Agile and Lean approaches. Describe the Agile manifesto and the four different levels.

Provide an example of usage expansion advertising other than those illustrated in the chapter. (p. 18)

The number of Starbucks coffee shops in 21 cities within 20 miles of the University of California, Riverside is shown in the following table. a. Find the mean, the median, and the mode. b. Compare...

The "Wii" is an interactive gaming console popular among many gamers. Its cost can vary dramatically, depending on where it is purchased. The website www.pricegrabber .com lists l4 online sellers...

You are given n = 5 measurements: 2, 1, 1, 3, 5. a. Calculate the sample mean, . b. Calculate the sample variance, s2, using the formula given by the definition. c. Find the sample standard...

The sample space is the collection of all possible outcomes.

Question 1: Fully answer parts A, B, C, and D: As the Hispanic population in the United States has grown, businesses have tried to understand what Hispanics like. One study interviewed a random...

5 Air Spares is a wholesaler that stocks engine components and test equipment for the commercial aircraft industry. A new customer has placed an order for eight high-bypass turbine engines, which...