×
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 4.3 - Problem 4.3-3
Get Full Access to Probability And Statistical Inference - 9 Edition - Chapter 4.3 - Problem 4.3-3

×

# Let W equal the weight of laundry soap in a 1-kilogram box that is distributed in

ISBN: 9780321923271 41

## Solution for problem 4.3-3 Chapter 4.3

Probability and Statistical Inference | 9th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Probability and Statistical Inference | 9th Edition

4 5 1 357 Reviews
14
4
Problem 4.3-3

Let W equal the weight of laundry soap in a 1-kilogram box that is distributed in Southeast Asia. Suppose that P(W < 1) = 0.02 and P(W > 1.072) = 0.08. Call a box of soap light, good, or heavy depending on whether {W < 1}, {1 W 1.072}, or {W > 1.072}, respectively. In n = 50 independent observations of these boxes, let X equal the number of light boxes and Y the number of good boxes. (a) What is the joint pmf of X and Y? (b) Give the name of the distribution of Y along with the values of the parameters of this distribution. (c) Given that X = 3, how is Y distributed conditionally? (d) Determine E(Y | X = 3). (e) Find , the correlation coefficient of X and Y.

Step-by-Step Solution:

Step 1 of 6

Given that,

The W equals the weight of laundry soap in a 1-kilogram box that is distributed in Southeast Asia.

The number of independent observations of the boxes=50.

and

The X equals the number of light boxes and Y the number of good boxes.

Step 2 of 6

Step 3 of 6

##### ISBN: 9780321923271

This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. The answer to “Let W equal the weight of laundry soap in a 1-kilogram box that is distributed in Southeast Asia. Suppose that P(W < 1) = 0.02 and P(W > 1.072) = 0.08. Call a box of soap light, good, or heavy depending on whether {W < 1}, {1 W 1.072}, or {W > 1.072}, respectively. In n = 50 independent observations of these boxes, let X equal the number of light boxes and Y the number of good boxes. (a) What is the joint pmf of X and Y? (b) Give the name of the distribution of Y along with the values of the parameters of this distribution. (c) Given that X = 3, how is Y distributed conditionally? (d) Determine E(Y | X = 3). (e) Find , the correlation coefficient of X and Y.” is broken down into a number of easy to follow steps, and 135 words. Since the solution to 4.3-3 from 4.3 chapter was answered, more than 399 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 59 chapters, and 1476 solutions. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271. The full step-by-step solution to problem: 4.3-3 from chapter: 4.3 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM.

## Discover and learn what students are asking

Calculus: Early Transcendental Functions : Inverse Trigonometric Functions: Integration
?In Exercises 1-20, find the indefinite integral. $$\int \frac{1}{\sqrt{1-(x+1)^{2}}} d x$$

Calculus: Early Transcendental Functions : Integration by Tables and Other Integration Techniques
?In Exercises 47-52, verify the integration formula. \(\int \frac{u^{n}}{\sqrt{a+b u}} d u=\frac{2}{(2 n+1) b}\left(u^{n} \sqrt{a+b u}-n a \in

#### Related chapters

Unlock Textbook Solution