Two fair (not weighted) dice are each numbered with a 3 on one side, a 2 on

Question:

Two fair (not weighted) dice are each numbered with a 3 on one side, a 2 on two sides, and a 1 on three sides. The dice are rolled, and the numbers on the two up faces are added. If X is the random variable associated with the sample space

S = {2, 3, 4, 5, 6}:

(A) Find the probability distribution of X.

(B) Find the expected value of X.

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

Step by Step Answer:

Related Book For book-img-for-question

College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

See More Books

Question Posted: Mar 31, 2022 02:09 AM

See More Questions

X is a random variable with moments E(X), E(X2), E(X3), and so forth. (a) Show E(X - )3 = E(X3) - 3[E(X2)][E(X)] + 2[E(X)]3. (b) Show E(X - )4 = E(X4) - 4[E(X)][E(X3)] + 6] E(X)]2[E(X2)] - 3[E(X)]4.
With reference to Exercise 7.9, find the probability distribution of the random variable Z = (X 1)2. Exercise 7.9 If X has a hypergeometric distribution with M = 3, N = 6, and n = 2, find the...
If X is a random variable, then E(X - a) = E(X ) - a and E(aX ) = aE(X ) for any number a. Give intuitive justifications of these results
Jacks Tracks sells 24,000 custom-designed GoKarts per year. These GoKarts are sold evenly throughout the year. The manufacturer charges Jack a $50 processing cost per order, and Jack incurs a...
A distinction was made in the chapter between two types of regulation: (a) the refinement and standardization of financial statements and (b) expanded disclosure. Why is the distinction important in...
The following histogram summarizes Apple Inc.s monthly stock price for the years 2007 through 2011 (finance.yahoo.com, data retrieved April 20, 2012). a. Is the distribution symmetric? If not, is it...
Calculate the positive confidence threshold. Use Result 2 to state when the model will make a positive classification.
Green Products Inc. cans peas and uses the weighted average cost method. For the month of November, the company showed the following: Peas completed and canned................. 245,000 lb Peas in...
Bula Investments acquired $256,800 of Effenstein Corp., 9% bonds at their face amount on October 1, 20Y1. The bonds pay interest on October 1 and April 1. On April 1, 20Y2, Bula sold $72,000 of...
1. Of the 10 psychological phenomena introduced in Chapter 1, identify which ones apply to the minicase, and give reasons to support your answer. 2. The Times article notes that three days after the...
If you pay $3.50 to play the game in Problem 62 (the dice are rolled once) and you are returned the dollar amount corresponding to the sum on the faces, what is the expected value of the game? Is the...
A new lie-detector test has been devised and must be tested before it is used. One hundred people are selected at random, and each person draws a card from a box of 100 cards. Half the cards instruct...
Estimating Cash Flows of a Foreign Project. Assume that Nike decides to build a shoe factory in Brazil; half the initial outlay will be funded by the parents equity and half by borrowing funds in...
Which alternative strategy do each of the following fall under? 1. Nike could set more aggressive sustainability targets and timelines for each product category, allocating additional resources to...
Find the critical value Za/2 that corresponds to the given confidence level. 88%
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 296 people over the age of 55, 73 dream in black and white, and among 294 people under...
The other strategy could be to develop a completely distinct product line. This would allow Nike to develop sustainable products without affecting their main products. It could target specific green...
A drug is used to help prevent blood clots in certain patients. In clinical trials, among 4705 patients treated with the drug, 170 developed the adverse reaction of nausea. Construct a 95% confidence...
The following financial statements were prepared for the management of Worldcorp Ltd. The statements contain some information that will be disclosed in note form in the general purpose financial...
Why is inventory management important for merchandising and manufacturing firms and what are the main tradeoffs for firms in managing their inventory?
In Problem discuss the validity of each statement. If the statement is true, explain why. If not, give a counter example. If r > 0, then r has three cube roots.
In Problem discuss the validity of each statement. If the statement is true, explain why. If not, give a counter example. If r > 0, then r has three cube roots.
In Problem simplify by writing each expression as a simple or single fraction reduced to lowest terms and without negative exponents. (x 1)/2 x(}) (x 1)-1/2 X - 1
Mass LLp developed software that helps farmers to plow their fiels in a mannyue sthat precvents erosion and maimizes the effoctiveness of irrigation. Suny dale paid a licesnsing fee of $23000 for a...
Average Rate of Return The following data are accumulated by Lone Peak Inc. in evaluating two competing capital investment proposals: 3D Printer Truck Amount of investment $40,000 $50,000 Useful life...
4. (10 points) Valuation using Income Approach An appraiser appraises a food court and lounge and provides the following assessment: o O The building consists of 2 floors with the following (6)...

Two fair (not weighted) dice are each numbered with a 3 on one side, a 2 on

Question:

Step by Step Answer:

Answer A Find the probability distribution of X we have 3 on one side 2 on two sides ...View the full answer

College Mathematics For Business Economics, Life Sciences, And Social Sciences

Students also viewed these Mathematics questions