Given a continuous uniform distribution, show that (a) = A + B/2 and (b) 2

Question:

Given a continuous uniform distribution, show that
(a) μ = A + B/2 and
(b) σ² = (B − A)²/12 .

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Essentials Of Probability And Statistics For Engineers And Scientists

ISBN: 9780321783738

1st Edition

Authors: Ronald E. Walpole, Raymond Myers, Sharon L. Myers, Keying E. Ye

See More Books

Question Posted: Aug 25, 2018 08:20 AM

See More Questions

Given a continuous uniform distribution, show that (a) -4+, and ) (B-Ay 12
Suppose X has a continuous uniform distribution over the interval [1.5, 5.5]. (a) Determine the mean, variance, and standard deviation of X. (b) What is P(X < 2.5)?
Suppose X has a continuous uniform distribution over the interval [-1, 1]. (a) Determine the mean, variance, and standard deviation of X. (b) Determine the value for x such that P(-x < X < x) = 0.90.
Explain why entrepreneurial firms are often in a strong position to use combination strategies.
Describes cooperative relationships between different species of microscopic organisms called dystrophy (a) what are the main characteristics of their partnership? (b) How does each species benefit?
The chemical reactor shown below has a cover (called a head) that is held in place by a series of bolts. The head is made of stainless steel (SG = 8.0), is 3 in. thick, has a diameter of 24 in., and...
The W14 $\times 38$ column is made of A-36 steel. Determine the critical load if its bottom end is fixed supported and its top is free to move in plane about the strong axis and is pinned about the...
Present value of an annuity Consider the following cases. a. Calculate the present value of the annuity assuming that it is (1) An ordinary annuity. (2) An annuity due. b. Compare your findings in...
Make a class whose objects each represent a bag of batteries (use dynamic memory and draw the class diagram). Also, the class must include the following services for its objects: show what's in the...
Create a scenario and a dialogue for a Coaching process using the GROW model then write a Reflective essay on Coaching process using the GROW model. The piece should discuss for example, what you...
Suppose X follows a continuous uniform distribution from 1 to 5. Determine the conditional probability P(X > 2.5 | X 4).
A company purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if 2 or more defective units are found in a random sample of 100 units. (a) What is the mean...
The New Zealand dollar to U.S. dollar exchange rate is 1.36, and the British pound to U.S. dollar exchange rate is 0.62. If you find that the British pound to New Zealand dollar were trading at 0.49,...
Brief summary of the article Early Christian and Byzantine art Briefly (in about three sentences) tell us what the significance of your article's subject Discusses (in about three or four sentences)...
Create a message that others may view negatively, using a direct or indirect approach, for one of the scenarios provided. Consider the order of the elements of your message, word choice, tone, and...
Casey Nelson is a divisional manager for Pigeon Company. His annual pay raises are largely determined by his division's return on investment (ROI), which has been above 24% each of the last three...
Crane Inc. had 37,400 common shares on January 1, 2024. On May 1, 2,880 common shares were repurchased and retired. On August 31 and November 30, 8,280 and 5,520 common shares were issued,...
Were the public relations tactics of the food industry ethical? Why or why not? The public relations practices of the food industry were not ethical in this video. The industry used deceptive...
Without actually doing the calculations, decide which, if either, of the following two sets of data will have the greater standard deviation. Explain why.
Discrete sample spaces: suppose there are N cable cars in San Francisco, numbered sequentially from 1 to N. You see a cable car at random; it is numbered 203. You wish to estimate N. (See Goodman,...
Explain why the standard error for the distribution of sample means is smaller than the standard deviation of sample scores.
What is a two-way ANOVA?
What is a factor?
Proposals to increase inheritance taxes are also under discussion. These are taxes on the amount of money that a person (an heir) inherits. What would the likely effect on the labor supply of heirs...
In 2011, a new program was put in place that allowed Christmas trees to be taxed (initially $1 per tree), with funds going to the Christmas Tree Promotion Board. The CTPB would use the funds to...
W W2 W3 W4 f f f f Consider the following two-sided matching problem. ff2 f3 f Wi W3 WA f2 fa fa fa fa fa f2 fi fa f2 fi f2 102 W3 WA W2 W3 W2 W2 Wi Wa Wa Wi W3 Compute the W-DA outcome. Compute the...

Given a continuous uniform distribution, show that (a) = A + B/2 and (b) 2

Question:

Step by Step Answer:

fx 1B A fo...View the full answer

Essentials Of Probability And Statistics For Engineers And Scientists

Students also viewed these Mathematics questions