Solution Found!

Statistics / Probability and Statistical Inference 9 / Chapter 3.1 / Problem 3.1-7

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

Change Question

For each of the following functions, (i) find the constant c so that f(x) is a pdf of a

Chapter 3, Problem 3.1-7

(choose chapter or problem)

Get Unlimited Answers

QUESTION:

For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X, (ii) find the cdf, F(x) = P(X x), (iii) sketch graphs of the pdf f(x) and the cdf F(x), and (iv) find and 2: (a) f(x) = 4xc, 0 x 1. (b) f(x) = c x, 0 x 4. (c) f(x) = c/x3/4, 0 < x < 1.

Questions & Answers

QUESTION:

For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X, (ii) find the cdf, F(x) = P(X x), (iii) sketch graphs of the pdf f(x) and the cdf F(x), and (iv) find and 2: (a) f(x) = 4xc, 0 x 1. (b) f(x) = c x, 0 x 4. (c) f(x) = c/x3/4, 0 < x < 1.

ANSWER:

Problem 3.1.7

For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X, (ii) find the cdf, F(x) = P(X x), (iii) sketch graphs of the pdf f(x) and the cdf F(x), and (iv) find and :

(a) , 0 x 1,

(b) , 0 x 4,

(c) , 0 < x < 1.

Step by Step Solution

Step 1 of 4

Given function is

To find the value of the constant such that is a pdf of a random variable.

By definition, is a pdf of a random variable if

(i)

Now, plugging into equation (i),

Hence, the value of the constant such that is a pdf of a random variable is 3

For this value of, the pdf of a random variable is

Study Tools You Might Need

Chapter: 13 Problem: 51P

Introductory Chemistry 5
Determine the mass (in g) of each NaCl solution that contains 1.5 g of NaCl. (a) 0.058% NaCl by mass (b) 1.46% NaCl by mass (c) 8.44% NaCl by mass

Chapter: 17 Problem: 62E

Sears and Zemansky's University Physics with Modern Physics 13
Problem 62E Two rods, one made of brass and the other made of copper, are joined end to end. The length of the brass section is 0.300 m and the length of the copper section is 0.800 m. Each segment has cross-sectional area 0.00500 m2. The free end of the brass segment is in boiling water and the fr

Chapter: Problem: 13

Myers' Psychology for AP 2
Self-reflective introspection about the elements of experience best describes a technique used by which school of psychology? a. Darwinists b. Empiricists c. Structuralists d. Behaviorists e. Psychiatrists

Chapter: 25 Problem: 4

Anatomy & Physiology 1
Peristaltic contractions occur in the ________. a. urethra b. bladder c. ureters d. urethra, bladder, and ureters

Chapter: 49 Problem: 3

Campbell Biology 10
Patients with damage to Wernickes area have difficulty a. coordinating limb movement. b. generating speech. c. recognizing faces. d. understanding language

Chapter: 19 Problem: 1

Human Biology 11
Define the difference between (a) gene and allele, (b) dominant allele and recessive allele, (c) homozygote and heterozygote, and (d) genotype and phenotype.

Chapter: 6 Problem: 1

General Chemistry. Principles and Modern Applications 11
Convert each pressure to an equivalent pressure in atmospheres. (a) 736 mmHg; (b) 0.776 bar; (c) 892 Torr; (d) 225 kPa

Chapter: 5 Problem: 5.9

Organic Chemistry 8
Predict all approximate bond angles about each highlighted carbon atom. To make these predictions, use valence-shell electron-pair repulsion (VSEPR) theory (Section 1.4).

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