Homework Help is Here – Start Your Trial Now!
Math
Statistics
A contractor is required by a county planning department to submit one, two, three, four, five, six, or seven forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y-that is, p(y) = ky for y = 1,..., 7. (Enter your answers as fractions.) (a) What is the value of k? [Hint: k = 1/28 (b) What is the probability that at most five forms are required? X p(y) = 1] y = 1 Ź (c) What is the probability that between four and six forms (inclusive) are required? X (d) Could p(y) = y² for y = 1, ..., 7 be the pmf of Y? 145 ---Select-- , because Ź y = 1 p(y) =

A contractor is required by a county planning department to submit one, two, three, four, five, six, or seven forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y-that is, p(y) = ky for y = 1,..., 7. (Enter your answers as fractions.) (a) What is the value of k? [Hint: k = 1/28 (b) What is the probability that at most five forms are required? X p(y) = 1] y = 1 Ź (c) What is the probability that between four and six forms (inclusive) are required? X (d) Could p(y) = y² for y = 1, ..., 7 be the pmf of Y? 145 ---Select-- , because Ź y = 1 p(y) =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
**Educational Content: Probability and Statistics** A contractor is required by a county planning department to submit *one, two, three, four, five, six, or seven* forms (depending on the nature of the project) in applying for a building permit. Let \(Y\) represent the number of forms required for the next applicant. The probability that \(y\) forms are required is known to be proportional to \(y\)—that is, \(p(y) = ky\) for \(y = 1, \ldots, 7\). The following problems explore how to calculate probabilities and determine whether a given function is a valid probability mass function (pmf). **(a) What is the value of \(k\)?** - \(\sum_{y=1}^{7} p(y) = 1\) - Given \(p(y) = ky\), find \(k\). - Solved: \(k = \frac{1}{28}\) ✔ **(b) What is the probability that at most five forms are required?** - To solve, compute \(P(Y \leq 5)\). - Status: Incorrect ❌ **(c) What is the probability that between four and six forms (inclusive) are required?** - Calculate \(P(4 \leq Y \leq 6)\). - Status: Incorrect ❌ **(d) Could \(p(y) = \frac{y^2}{145}\) for \(y = 1, \ldots, 7\) be the pmf of \(Y\)?** - Verify if \(\sum_{y=1}^{7} p(y) = 1\). - Choose: \(\_\_\_\_\_\_\_\), because \(\sum_{y=1}^{7} p(y) = \_\_\_\_\_\_\_\_\). Remember, a valid pmf must satisfy the condition that the sum of \(p(y)\) over all possible values of \(Y\) equals 1.
Transcribed Image Text:**Educational Content: Probability and Statistics** A contractor is required by a county planning department to submit *one, two, three, four, five, six, or seven* forms (depending on the nature of the project) in applying for a building permit. Let \(Y\) represent the number of forms required for the next applicant. The probability that \(y\) forms are required is known to be proportional to \(y\)—that is, \(p(y) = ky\) for \(y = 1, \ldots, 7\). The following problems explore how to calculate probabilities and determine whether a given function is a valid probability mass function (pmf). **(a) What is the value of \(k\)?** - \(\sum_{y=1}^{7} p(y) = 1\) - Given \(p(y) = ky\), find \(k\). - Solved: \(k = \frac{1}{28}\) ✔ **(b) What is the probability that at most five forms are required?** - To solve, compute \(P(Y \leq 5)\). - Status: Incorrect ❌ **(c) What is the probability that between four and six forms (inclusive) are required?** - Calculate \(P(4 \leq Y \leq 6)\). - Status: Incorrect ❌ **(d) Could \(p(y) = \frac{y^2}{145}\) for \(y = 1, \ldots, 7\) be the pmf of \(Y\)?** - Verify if \(\sum_{y=1}^{7} p(y) = 1\). - Choose: \(\_\_\_\_\_\_\_\), because \(\sum_{y=1}^{7} p(y) = \_\_\_\_\_\_\_\_\). Remember, a valid pmf must satisfy the condition that the sum of \(p(y)\) over all possible values of \(Y\) equals 1.
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS