Usé this to find the variance of X. 24. Assume that the increase in demand for electric power in millions– hours over the next 2 years in a particular area is a random var density is given by f(x) = (1/64)x³ 0

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

#25 c and d 

Usé this to find the variance of X.
24. Assume that the increase in demand for electric power in millions–
hours over the next 2 years in a particular area is a random var
density is given by
f(x) = (1/64)x³
0<x<4
(a) Verify that this is a valid density.
. (b) Find the expression for the cumulative distribution for X, and
the probability that the demand will be at most 2 million kil
(e) If the area only has the capacity to generate an additional 3
watt hours, what is the probability that demand will exceed
(d) Find the average increase in demand. -
12
Tter
Section 4.3
25. Evaluate each of these integrals:
(a) o z?e-z dz
513V
(b) Jo zlez dz
m dx
(c) xe-x2
19m
wilided
(d) 0 (1/16)xex/4 dx
26. Prove Theorem 4.3.1. Hint: To prove part 1, evaluate I'(1) ở
definition of the gamma function. To prove part 2, use inte
with
Transcribed Image Text:Usé this to find the variance of X. 24. Assume that the increase in demand for electric power in millions– hours over the next 2 years in a particular area is a random var density is given by f(x) = (1/64)x³ 0<x<4 (a) Verify that this is a valid density. . (b) Find the expression for the cumulative distribution for X, and the probability that the demand will be at most 2 million kil (e) If the area only has the capacity to generate an additional 3 watt hours, what is the probability that demand will exceed (d) Find the average increase in demand. - 12 Tter Section 4.3 25. Evaluate each of these integrals: (a) o z?e-z dz 513V (b) Jo zlez dz m dx (c) xe-x2 19m wilided (d) 0 (1/16)xex/4 dx 26. Prove Theorem 4.3.1. Hint: To prove part 1, evaluate I'(1) ở definition of the gamma function. To prove part 2, use inte with
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON