Question

Problem 1 The demand for a certain weekly magazine at a newsstand is a discrete random...

Problem 1 The demand for a certain weekly magazine at a newsstand is a discrete random variable, X, with an expected value of 3 magazines sold per week. Furthermore, the distribution of variable X is symmetric about the value of 3. The magazines are sold for $6.00 per copy to the customers and cost $4.00 per copy for the owner of the newsstand. At the beginning of each week, the owner of the newsstand buys 6 magazines to sell during the week.

(a) The table below is intended to present the distribution of variable X. Complete the table. Justify your values. x (value of X) 0 1 2 3 4 5 6 Probability of x 0.05 0.10 0.20

(b) In dollars, what is the expected amount of money the owner of the newsstand will take in (the gross income minus the expense mentioned above) from the sales of the magazines per week? (show your work) (hint: maybe, first, you want to present a table similar to the one above)

(c) Explain briefly why it is not wise for the owner of the newsstand to buy 6 magazines at the beginning of each week. (longwinded explanations will lower your score)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Weekly demand for the Muscat Star magazine is normally distributed with a mean of 11.73 and...
Weekly demand for the Muscat Star magazine is normally distributed with a mean of 11.73 and a standard deviation of 4.47. The magazines are sold for OMR 0.750 and bought for OMR 0.250. The unsold copies can be salvaged for OMR 0.100. 1. Find the order quantity that minimizes the expected total cost. 2. What would be the order up-to point if the shop receives 6 copies of the magazine from another supplier at the beginning of the week? 3....
x P(X=x) 0 0.44 The incomplete table at right is a discrete random variable x's probability...
x P(X=x) 0 0.44 The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of days in a week people exercise.  Answer the following: 1 0.18 2 0.02 3 (a) Determine the value that is missing in the table. 4 0.03 5 0.13 6 0.07 (b) Explain the meaning of " P(x < 2) " as it applies to the context of this problem. 7 0.04 (c) Determine the value of P(x >...
Problem #3. X is a random variable with an exponential distribution with rate λ = 7...
Problem #3. X is a random variable with an exponential distribution with rate λ = 7 Thus the pdf of X is f(x) = λ e−λx for 0 ≤ x where λ = 7. a) Using the f(x) above and the R integrate function calculate the expected value of X. b) Using the f(x) above and the R integrate function calculate the expected value of X2 c) Using the dexp function and the R integrate command calculate the expected value...
1. Let X be a discrete random variable. If Pr(X<6) = 1/5, and Pr(X>6) = 1/7,...
1. Let X be a discrete random variable. If Pr(X<6) = 1/5, and Pr(X>6) = 1/7, then what is Pr(X=6)? Please specify your answer in decimal terms and round your answer to the nearest hundredth (e.g., enter 12 percent as 0.12). 2. A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Number of complaints 0...
2. The incomplete probability distribution table at the right is of the discrete random variable x...
2. The incomplete probability distribution table at the right is of the discrete random variable x representing the number of times people donate blood in 1 year. Answer the following: x P(X=x) (a) Determine the value that is missing in the table. (Hint: what are the requirements for a probability distribution?) 0 0.532 1 0.124 2 0.013 (b) Find the probability that x is at least 2 , that is find P(x ≥ 2). 3 0.055 4 0.129 5 (c)...
Problem #3. X is a random variable with an exponential distribution with rate λ = 7...
Problem #3. X is a random variable with an exponential distribution with rate λ = 7 Thus the pdf of X is f(x) = λ e−λx for 0 ≤ x where λ = 7. PLEASE ANSWER these parts if you can. f) Calculate the probability that X is at least .3 more than its expected value.Use the pexp function: g) Copy your R script for the above into the text box here.
QUESTION 1 The expected value of a discrete random variable is: A)The mean B)The standard deviation...
QUESTION 1 The expected value of a discrete random variable is: A)The mean B)The standard deviation C) The probability of success D) The variance QUESTION 2 Expected value is: A)A measure of dispersion B) A measure of central location C)A measure of distance from the mean D)None of the above QUESTION 3 In combinations, A)n represents the number of objects, x represents multiply B)n represents nothing, x represents the number of elements C)n represents the total number of objects, x...
Question 1 (General Discrete) Household Size from U.S. Census of 2010 Let X be the random...
Question 1 (General Discrete) Household Size from U.S. Census of 2010 Let X be the random variable: number of people (persons!) in a household. Number of people in household (x) Probability P(X=x) xP(x) x-μ x-μ2 P(x)x-μ2 1 0.267 2 0.336 3 0.158 4 0.137 5 0.063 6 0.024 7 0.015 Totals: Confirm that this is a probability distribution. Draw a bar chart. Is the distribution symmetric, left or right skewed? Calculate the mean and standard deviation. What is the probability...
1. A coin is tossed 3 times. Let x be the random discrete variable representing the...
1. A coin is tossed 3 times. Let x be the random discrete variable representing the number of times tails comes up. a) Create a sample space for the event;    b) Create a probability distribution table for the discrete variable x;                 c) Calculate the expected value for x. 2. For the data below, representing a sample of times (in minutes) students spend solving a certain Statistics problem, find P35, range, Q2 and IQR. 3.0, 3.2, 4.6, 5.2 3.2, 3.5...
Question 6) Suppose X is a random variable taking on possible values 0,2,4 with respective probabilities...
Question 6) Suppose X is a random variable taking on possible values 0,2,4 with respective probabilities .5, .3, and .2. Y is a random variable independent from X taking on possible values 1,3,5 with respective probabilities .2, .2, and .6. Use R to determine the following. f) Find the expected value of X*Y. (i.e. X times Y) g) Find the expected value of 3X - 5Y. h) Find the variance of 3X - 5Y i) Find the expected value of...