A discrete random variable, X, has the probability distribution function: a. Find the value of k and

Question:

A discrete random variable, X, has the probability distribution function:

a. Find the value of k and the probability generating function.

b. Find E(X).

c. Find Var(X).

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

See More Books

Question Posted: Oct 06, 2021 12:53 AM

See More Questions

The continuous random variable x has the probability distribution shown here: Shade the area under the curve corresponding to each of the following probabilities. (Draw a new curve for each part.) a....
A discrete random variable x can assume five possible values: 20, 21, 22, 23, and 24. The following Minitab histogram shows the likelihood of each value. a. What is p(22)? b. What is the probability...
A discrete random variable x can assume five possible values: 2, 3, 5, 8, and 10. Its probability distribution is shown here: a. What is p(5)? b. What is the probability that x equals 2 or 10? c....
Assume that self-esteem measurements are not affected by an interaction between subject self-esteem and target self-esteem. Is there sufficient evidence to support the claim that the category of the...
What are the most thorny ethical dilemmas that entrepreneurs face, and why?
Why is cloud computing not the best option for all companies?
Brian worked as a painter for a major U.S. corporation. Over a period of nearly a decade, he was responsible for painting different aspects of the corporations plant, including the floors, walls, and...
On October 31, 2017, Lisik Company had a cash balance per books of $8,946. The bank statement on that date showed a balance of $10,155. A comparison of the statement with the Cash account revealed...
a) A real estate contract is a contract between parties for the purchase and sale, exchange, or other conveyance of real estate. The sale of land is governed by the laws and practices of the...
1. Based on the information provided about the trait approach in Tables 2.1 and 2.2, if you were Sandra, whom would you select? 2. In what ways is the trait approach helpful in this type of...
A uniform beam AB has length 2m and weight 70N. The beam is hinged at A to a fixed point on a vertical wall, and is held in equilibrium by a light inextensible rope. One end of the rope is attached...
With the data developed in Exercise 10 through 13, you now have all of the information needed to complete a finished goods budget and a cost of goods sold budget for Clear Channels. Opening finished...
After Kuczora lost his finance job in 2007, he styled himself as the managing director of KCS Financial, a phony finance firm he ran from his Elgin, Illinois basement. Kuczora falsely represented to...
What should be your first step in managing supply chain risks? a. Establish processes for managing supply chain risks and assess their workability . b. Communicate your organization's cybersecurity...
How can an attacker calling the C function parse_text below cause a buffer overflow? Explain how and why this works. #include #include #define BUFLEN 4096 int check (int n) { } if (n BUFLEN) abort...
Bond Price and Interest Rate Risk 8. Consider two 10-year bonds, both with par values of $1,000. Bond A has a 5% coupon rate (paid semiannually) and Bond B has an 8% coupon rate (paid semiannually)....
A forward contract with 8 months to maturity is written on an underlying share. Themarket price of the share is $34, and it is expected to pay dividends of $1.40 after 2months and $2 immediately...
Our is topic is about "Should we have the right to experiment on animals?" Ans: No Give the three supporting arguments that use in essay. (Reminder: make sure they are separate arguments; if they are...
While vacationing at the Outer Banks of North Carolina, you find an old coin that looks like it is made of gold. You know there were many shipwrecks here, so you take the coin home to check the...
The vapor pressure of the liquid NH, is measured at different temperatures. The following vapor pressure data are obtained. Temperature, K P, mmHg 217.1 223.4 234.7 588.1 Calculate the enthalpy of...
Careful measurements reveal that para-methoxybenzoic acid is less acidic than benzoic acid, while meta-methoxybenzoic acid is more acidic than benzoic acid. Explain these observations.
Predict the major product(s) formed when hexanoyl chloride is treated with each of the following reagents: (a) CH 3 CH 2 NH 2 (excess) (b) LAH (excess), followed by H 2 O (c) CH 3 CH 2 OH, pyridine...
Predict the major product(s) formed when cyclopentanecarboxylic acid is treated with each of the following reagents: (a) SOCl 2 (b) LAH (excess), followed by H 2 O (c) NaOH (d) [H + ], EtOH
1. How can group dynamics support team performance? Give two (2) reasons and explain each. a. b. 2. How can group dynamics hinder team performance? Give two (2) reasons and explain each
describe how you would deal with the situation. In your answer, please include 1) a description of the relevant stakeholders; 2) identification of the competing interests of the stakeholders, 3) the...
Using the seven steps of the quantitative analysis approach, I need to model a profit maximization problem in a fast food restaurant. I also need to perform the profit optimization analysis with the...

A discrete random variable, X, has the probability distribution function: a. Find the value of k and

Question:

k P(X = x) = er x = 0, 1, 2, 3, ... %3D

Step by Step Answer:

a To find the value of k we use the fact that the sum of the proba...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

Students also viewed these Sciences questions