Solution Found!

Statistics / Probability and Statistical Inference 9 / Chapter 5.3 / Problem 2E

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Change Question

Let X1 and X2 be independent random variables with

Chapter 5, Problem 2E

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

Problem 2E

Let X1 and X2 be independent random variables with respective binomial distributions b(3, 1/2) and b(5, 1/2). Determine

(a) P(X1 = 2,X2 = 4).

(b) P(X1 + X2 = 7).

Questions & Answers

QUESTION:

Problem 2E

Let X1 and X2 be independent random variables with respective binomial distributions b(3, 1/2) and b(5, 1/2). Determine

(a) P(X1 = 2,X2 = 4).

(b) P(X1 + X2 = 7).

ANSWER:

Problem 2E

Let and be independent random variables with respective binomial distributions b(3, 1/2) and b(5, 1/2). Determine

(a) P( = 2, = 4).

(b) P( + = 7).

Step by Step Solution

Step 1 of 3

It is given that X1 and X2 are independent events with binomial distribution b (3, 1/2) and b (5, 1/2).

Apply the binomial distribution, to find the probability.

(a) The probability of

Substitute the values of probability of X equals 2 and 4.

Thus, the probability of, 0.05859.

Study Tools You Might Need

Chapter: 4 Problem: 18

Elementary Statistics 12
Trifecta In horse racing, a trifecta is a bet that the first three finishers in a race are selected in the correct order. In a race with 12 horses, how many different trifecta bets are possible? If you randomly guess the order of the first three finishers in a race with 12 horses, what is the probabi

Chapter: 7 Problem: 18

Elementary Statistics: A Step By Step Approach 9
Problem 18CQ Hours Spent Studying A university dean wishes to estimate the average number of hours that freshmen study each week. The standard deviation from a previous study is 2.6 hours. How large a sample must be selected if he wants to be 99% confident of finding whether the true mean differs f

Chapter: 16 Problem: Q16.7

Sears and Zemansky's University Physics with Modern Physics 13
Problem 7DQ Lane dividers on highways sometimes have regularly spaced ridges or ripples. When the tires of a moving car roll along such a divider, a musical note is produced. Why? Explain how this phenomenon could be used to measure the cars speed.

Chapter: Problem: 1

Myers' Psychology for AP 2
Which of the following represents drug tolerance? a. Hans has grown to accept the fact that his wife likes to have a beer with her dinner, even though he personally does not approve of the use of alcohol. b. Jose often wakes up with a headache that lasts until he has his morning cup of coffee. c. Pie

Chapter: 0 Problem: 3

Krugman's Economics for AP® (High School) 2
The horizontal intercept of the long-run aggregate supply curve is a. at the origin. b. negative. c. at potential output. d. equal to the vertical intercept. e. always the same as the horizontal intercept of the short-run aggregate supply curve.

Chapter: 8 Problem: 40

The Practice of Statistics 5
2010 begins In January 2010 a Gallup Poll asked a random sample of adults, In general, are you satisfied or dissatisfied with the way things are going in the United States at this time? In all, 256 said that they were satisfied and the remaining 769 said they were not. Construct and interpret a 90% c

Chapter: 8 Problem: 23

Human Heredity: Principles and Issues 11
How does DNA replication occur in a precise manner to ensure that identical genetic information is put into the new chromatid? See Figures 3 and 4. FIGURE 3 In DNA replication, the two polynucleotide strands uncoil, and each is a template for synthesizing a new strand. A replicated DNA molecule con

Chapter: 5 Problem: 8

Urban Economics 8
Consider a city that imposes a new pollution tax that increases the average cost (and price) of the good produced by a polluting industry by 4 percent and improves the citys environmental quality by 20 percent. The price elasticity of demand for the citys export goods is -1.50. a. The total output of

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

×

Register

Sign up for access to all content on our site!

Or login if you already have an account