If X ~ B (n,p), show that fx(t) = (peit +q)n, q = 1 - p.

Question:

If X ~ B (n,p), show that
fx(t) = (peit +q)n, q = 1 - p.

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

Step by Step Answer:

Related Book For book-img-for-question

An Introduction to Measure Theoretic Probability

ISBN: 978-0128000427

2nd edition

Authors: George G. Roussas

See More Books

Question Posted: Mar 25, 2016 03:35 AM

See More Questions

In this exercise, the r.v.s X1,..., Xk are independent with distributions as indicated, and X = X1 +....+ Xk. Then use Exercise 13 in Chapter 10, the inversion formula (Theorem 2), and the...
Suppose the pdf fx(x) of a random variable X is an even function. (fx(x) is an even function if fx(x) = fx(-x) for every x.) Show that (a) X and -X are identically distributed. (b) Mx(t) is symmetric...
If X has the Gamma distribution with parameters Î± and Î²; i.e., if its p.d.f. is given by x > 0 (and0 for x ¤ 0), Where the Gamma function á´¦...
Sketch the graph of the function. y = e -x/2
The auditor should assess control risk for each relevant assertion by evaluating the evidence obtained from all sources, including a. The auditors testing of controls for the audit of internal...
The Department of Labor has changed its mind about all tips being the property of employees and is now saying that if an employer pays the full minimum wage to tipped employees and does not avail...
An observatory has a telescope that requires an initial investment of $\$ 25,000$. A benefactor will provide a $\$ 7,500$ gift every 5 years as long as the university makes the telescope available to...
Widgets are produced by a constant-cost industry. The following chart shows the industry-wide demand curve and the marginal cost curve of each firm. There are currently 600 firms in the industry....
Six-sevenths of Jesse Black's inventory was destroyed by fire. He sold the remaining part, which was slightly damaged, for nine-elevenths of its value and received $2400. (a) What was the value of...
ABC is an electronic manufacturing company based in Singapore. It sells a wide rangeof products to markets in the Asian region. Currently, it has a sizeable IT division withthe following...
According to the WLLN (Application 1 to Theorem 9), if the r.v.s X 1 ,...,X n are i.i.d. with finite X 1 , then The following example shows that it is possible for {S n /n} to converge in probability...
If X ~ P (Î»), show that fx(t) = ereit a
Find an equation of the line containing the point (-1, 3) and perpendicular to the line x + 2y = -6.
As the chief economist of the Lusitania country fund with extensive holdings in Brazil, you have been approached by Third Eye, a professional currency forecasting firm that claims to have superior...
How will the following events affect the demand for money? In each case, specify whether there is a shift of the demand curve or a movement along the demand curve and its direction. a. There is a...
Repeat 4.39.5, but now assume that energy consumption is reduced by a factor of X 2 when latency is made X times longer. What are the power savings compared to what you computed for 4.39.2? Exercise...
There are three types of money: commodity money, commodity-backed money, and fiat money. Which type of money is used in each of the following situations? a. Bottles of rum were used to pay for goods...
The Congressional Research Service estimates that at least $45 million of counterfeit U.S. $100 notes produced by the North Korean government are in circulation. a. Why do U.S. taxpayers lose because...
(a) Indicate whether each of the following ratios is a liquidity (L) ratio, a solvency (S) ratio, or a profitability (P) ratio. (b) Indicate whether a higher or lower result is normally desirable....
The packaging division of a company having considered several alternative package designs for the company's new product has finally brought down their choices to two designs of which only one has to...
Many retail stores offer their own credit cards. At the time of the credit application, the customer is given a 10% discount on the purchase. The time required for the credit application process...
The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an elevator follows a uniform distribution between 0 and 3.5 minutes. a. Show that the area under the curve is 1.00. b. How...
The net sales and the number of employees for aluminum fabricators with similar characteristics are organized into frequency distributions. Both are normally distributed. For the net sales, the mean...
Identify one type of business and describe that business and it's lending needs. Then describe what their potential lending needs may? Manufacturing Retail Wholesale Service Construction
Many investors believe the slope of yield curve is a leading economic indicator. Do you agree? Why? https://home.treasury.gov/policy-issues/financing-the-government/interest-rate-statistics?
Analyze the process for monitoring claims data for detecting potential fraud and abuse and describe how it is a crucial financial management process?

If X ~ B (n,p), show that fx(t) = (peit +q)n, q = 1 - p.

Question:

Step by Step Answer:

Since p X ...View the full answer

An Introduction to Measure Theoretic Probability

Students also viewed these Statistics questions