Derive Equations 9.13 and 9.14 showing that [E{X}=mu] and [Eleft{X^{2} ight}=mu^{2}+sigma^{2}] E{X} E{x}. = = 2 1

Question:

Derive Equations 9.13 and 9.14 showing that

\[E\{X\}=\mu\]

and

\[E\left\{X^{2}\right\}=\mu^{2}+\sigma^{2}\]

image text in transcribed

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

Step by Step Answer:

Related Book For book-img-for-question

Mechanical Vibration Analysis, Uncertainties, And Control

ISBN: 9781498753012

4th Edition

Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han

See More Books

Question Posted: May 06, 2024 04:02 AM

See More Questions

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
PLEASE GIVE CORRECT ANSWERS Prove that the number of comparators in any sorting network is (n log n). [4 marks] (ii) What does Part (d)(i) imply in terms of the depth of any sorting network? [1 mark]...
What is wrong with the following variable declarations? If wrong, explain. If correct (nothing wrong), write "correct". double 1st_var = 10; int var2; int var3 = var2; string name="var3"; double...
Repeat Problem 1.5.1, except that the second drawing is made with replacement. Compare your answers with those from Problem 1.5.1. Problem 1.5.1 (a) Both are picture cards. (b) Both are from red...
Sketch a graph of a differentiable function f that satisfies the following conditions and has x = 2 as its only critical number. f'(x) < 0 for x < 2 f'(x) > 0 for x > 2 lim f(x) = 6 x118 lim f(x) = 6...
You might ask the class the following questions: > Do you think about your goals? About how well you're accomplishing your goals? Do you think about what you want to accomplish in this awkward time...
On January 1, 2018, Marshall Company acquired 100 percent of the outstanding common stock of Tucker Company. To acquire these shares, Marshall issued $200,000 in long-term liabilities and 20,000...
The Alpine House, Inc., is a large retailer of snow skis. The company assembled the information shown below for the quarter ended March 31: Amount $ 1,080,000 450 47 17 Sales Selling price per pair...
For the Gaussian random variable $X$, numerically estimate the probability $\operatorname{Pr}\{X <0\}$ for (a) mean value $\mu=10$ and standard deviation $\sigma=10$, and (b) mean value...
If a mechanical component fails according to the exponential distribution with a mean value of $5000 \mathrm{~h}$, what is the probability that the component will fail by 1000 h? How many...
Simplify the expression. 3 -6 .3 4
Canterbury Convenience Stores (CCS) is a newly formed organization in Christchurch, New Zealand. It comprises 10 moderately sized convenience stores that previously operated independently of each...
Orchard Distributions Pte. Ltd. is a large, Singaporean-based distributor of clothing products to other companies throughout Southeast Asia. Orders are received from customers either by telephone,...
You are an external auditor in a firm that undertakes the audit of Canadian Life and Mutual (CLM), a large, Montreal-based financial institution. CLM relies heavily on its computer-based information...
You need to temporarily increase the feed rate to an existing column without flooding. Since the column is now operating at about $90 \%$ of flooding, you must vary some operating parameter. The...
Consider, again, the clothing data set. Obtain the three summary plots of the sample cross-correlations for lags 1 to 21.
Consider internal control over receivables collections. What job must be withheld from a companys credit department in order to safeguard its cash? If the credit department does perform this job,...
2. In the circuit given in Figure 2, i,(t) = 5.67cos(5t)A and v (t) = 70.71 cos(5t 60) V a) Find the equivalent load impedance. State whether the load is inductive or capacitive. b) Calculate the...
Identify and describe three categones into which insurance coverages may ranked by priority (hint : indicate the nature of the exposures or risk to each category applies)
Builtrite Furniture has calculated the average weekly payroll to be $18,000 with a standard deviation of $4,000. The Tempe store manager will get into trouble if he allows wages to get too high. For...
Process or Sell Product T is produced for $3.58 per pound. Product T can be sold without additional processing for $4.1 per pound or processed further into Product U at an additional cost of $0.42...

Derive Equations 9.13 and 9.14 showing that [E{X}=mu] and [Eleft{X^{2} ight}=mu^{2}+sigma^{2}] E{X} E{x}. = = 2 1

Question:

E{X} E{x}. = = 2 1 = 2 (+)/2 = (9.13) (1 + 1) - / dy = p +o. (9.14)

Step by Step Answer:

Mechanical Vibration Analysis, Uncertainties, And Control

Students also viewed these Engineering questions