Show that a normal random variable has inflection points at x = - and x

Question:

Show that a normal random variable has inflection points at x = μ - σ and x = μ + σ.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus With Applications

ISBN: 9780135871348

12th Edition

Authors: Margaret L. Lial

See More Books

Question Posted: Jan 23, 2023 04:16 AM

See More Questions

A normal random variable x has mean = 10 and standard deviation = 2. Find the probability associated with each of the following intervals. a. x > 13.5 b. x = 8.2 c. 9.4 < x < 10.6
A normal random variable x has mean = 1.2 and standard deviation = .15. Find the probability associated with each of the following intervals. a. 1.00 < x < 1.10 b. x > 1.38 c. 1.35 < x < 1.50
A normal random variable x has mean 35 and standard deviation 10. Find a value of x that has area .01 to its right. This is the 99th percentile of this normal distribution.
An order book displays the following information for stock ABC: Bid Shares 200 100 300 200 Price 25.76 25.66 25.62 25.54 Ask Price 25.82 25.94 25.98 26.06 Shares 100 200 200 400 What is the total...
Why is an unbiased statistic generally preferred over a biased statistic for estimating a population characteristic? Does unbiasedness alone guarantee that the estimate will be close to the true...
A directed cycle is a path. Determine whether each statement is always true or sometimes true.
of year Total liabilities, end of year Dividends to shareholders Share issues Share repurchases Shareholders' equity, beginning of year $ 2,300 1,750 (90) 4,340 1,380 400 900 150 19,140 Show that at...
Margie Van Epps established Health Services, P.C., a professional corporation, in March of the current year. Health Services offers healthy living advice to its clients. The effect of each...
1 Winner's Sporting Equipment manufactures sporting goods. Selected costs from the past year include: Click the icon to view the data) Period costs for Winner's Sporting Equipment totaled Data Table...
The accounting firm of Coopers & Andersen is conducting a benchmarking survey to assess the satisfaction level of its clients versus clients served by competing accounting firms. The clients are...
Find the general solution for each differential equation. dy dx = 4e2x
Let X be a continuous random variable with density function Calculate the expected value of X. Choose one of the following. (a) 1/5 (b) 3/5 (c) 1 (d) 28/15 (e) 12/5 f(x) = = |x| 10 for-2 x 4 0...
Indicate whether each of the following statements is true or false by writing T or F i n t he a nswer c olumn. Most countries recognize U.S. patents but not copyrights.
Verify the results of Eq. (14.48) for the properties of the chiral projection operators. Data from Eq. 14.48 P = P+ P+ + P = 1 P_P+ P+P = 0 Py" = y P
Prove that the estimating equations in (11.13) are unbiased under MCAR, but are generally biased without the stringent MCAR assumption. (x) [y - f (xt;)] = 0, i=1 (11.13)
Refer to Figure 11.5: Which is the most expensive subcontract for this project? How much were the costs for the general contractor's crews for item 4? Figure 11.5 Division 1 2 3 4 5 6 7 Work Gen'l...
a. Using observations on the change in consumption $D C_{t}=C_{t}-C_{t-1}$ and the change in income $D Y_{t}=$ $Y_{t}-Y_{t-1}$ from 1959Q3 to 2015Q4, obtained from the data file cons_inc,...
Water at $20^{\circ} \mathrm{C}$ flows by gravity from a large reservoir at a high elevation to a smaller one through a 35-m-long, 5-cm-diameter cast iron piping system that includes four standard...
Snorkeling elephants. An elephant can use its long trunk as a snorkel while swimming or walking across the bottom of rivers (Fig. P10.86). The lining of an elephant???s lung is reinforced with...
What is your opinion of advertising awards, such as the Cannes Lions, that are based solely on creativity? If you were a marketer looking for an agency, would you take these creative awards into...
For each function, find (a) The critical numbers; (b) The open intervals where the function is increasing; (c) The open intervals where it is decreasing. f(x) = x + 3/x 4
For each function, find (a) The critical numbers; (b) The open intervals where the function is increasing; (c) The open intervals where it is decreasing. y = 6x 9
For each function, find (a) The critical numbers; (b) The open intervals where the function is increasing; (c) The open intervals where it is decreasing. f(x) = 3x 4 + 8x 3 18x 2 + 5
thumbs up if correct A stock paying no dividends is priced at $154. Over the next 3-months you expect the stock torpeither be up 10% or down 10%. The risk-free rate is 1% per annum compounded...
Question 17 2 pts Activities between affiliated entities, such as a company and its management, must be disclosed in the financial statements of a corporation as O significant relationships O segment...
Marchetti Company, a U.S.-based importer of wines and spirits, placed an order with a French supplier for 1,000 cases of wine at a price of 200 euros per case. The total purchase price is 200,000...

Show that a normal random variable has inflection points at x = - and x

Question:

Step by Step Answer:

Therefore there are po...View the full answer

Calculus With Applications

Students also viewed these Mathematics questions