Question: Problem 1. A random variable X has the distribution 2 5 7 PX = 2/7 4/7 1/7 Find the expected value, variance, and standard deviation

Problem 1. A random variable X has the distribution 2 5 7 PX = 2/7 4/7 1/7 Find the expected value, variance, and standard deviation of X. Problem 2. Let X and Y be independent random variables with E(X ) = 5, E(X?) = 64, E(Y) = 6, and V(Y) = 2. Find (a) V(X). (b) E(7X + 2). (c) V(7X + 2). (d) V(3Y). (e) V(2X + 2Y + 1). Problem 3. Anna plays 10 rounds of (American) roulette and bets $1 on red each time. Let X denote Anna's winnings. What is the variance of X

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

finite Math 200 Question Help 1-5 1. [-/3 Points] DETAILS TANFIN 12 8.3.001. MY NOTES PRACTICE ANOTHER The probability distribution of a random variable X is given. 1 2 3 4 P(X = x) 0.1 0.3 0.2 0.4...

Page 1 of 14 **Excel is not acceptable for this **Part D: All work must be shown step by step in order to receive full credit Part A: Fill in the blank (1-26) 1) 2) 3) 4) 5) Given , H0: = 0, then Ha...

\f1) The amount of coke put into a 12oz bottle by a filling machine is a random variable having a normal distribution. The average amount put in a bottle is 12oz and the standard deviation is 5oz....

Thank you . please refer to the example ll. Assume X~N[9, 4), find the area of the following: 6. Between 10 and 13 ,/ \\ ./ \\a 7. Between 3 and 8 ,/ \\k ,/ \\h 8. Greater than 13 ,/\\x ,/ \\x 9. The...

HARDMAN MAT 2170 Review for Final Exam 1. Know the definitions of the following terms: A. Margin of Error B. Mean C. Range D. Parameter E. Continuous F. Outliers G. Scatterplot H. Mutually Exclusive...

last homework please help in this Question Completion Status: .> Moving to another question will save this response. Question 57 Which of the following is false? OA. If the population is normal, then...

0 Round your answers to 4 decimal places I. Assume Z~N(0, 1), find the area of the following: 1. Less than 2.10 2. Between 1.24 and 2.56 II. Assume X"Nl9, 4), find the area of the following: 3....

only number 3,4,5,6,7,9 with shaded region 0 Round your answers to 4 decimal places I. Assume Z~N(0, 1), find the area of the following: 1. Less than 2.10 2. Between 1.24 and 2.56 II. Assume X"Nl9,...

Question 4 20 marks (a) The following table shows the probability distribution of a discrete random variable X. X 0 1 2 3 4 P(X) 0.1 0.2 0.3 + k 0.15 0.05 + 100 (i) Find the value of k. Correct your...

E1, E3 ( ii) E2, E4 Question 4 20 marks (a) The following table shows the probability distribution of a discrete random variable X. X 0 1 2 3 4 P(X) 0.1 0.2 0.3 + k 0.15 (0.05 + 9) 100 (i) Find the...

You are given the following total market values for an index over a five-year period. Assuming the index starts at 1,000, calculate the index value each year. Year 1: $5,714 million Year 2: $5,839...

Net sales $65,000, beginning inventory $35,000, ending inventory $20,000, inventory days on hand 30 days. The inventory turnover is?

For 2 0 X 1 , Hammer Company reports beginning of the year total assets of $ 9 0 0 , 0 0 0 , end of the year total assets of $ 1 , 1 0 0 , 0 0 0 , net sales of $ 1 , 2 5 0 , 0 0 0 , and net income of...

When you pay a market price for the bond greater than its PV what happens to the YTM. describe in conjunction with the coupon rate?

Describe the presentation aid that you would construct to best illustrate the data for each of the following situations. Create your own title for each one.Write an introduction to the aid and write...

Explain why it is important to learn and use your receivers name during a conversation. (Objective 2)

Why is it important to create a mental image of the person you are speaking with on the phone? (Objective 2)