A privately owned liquor store operates both a drive-in facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-in and walk-in facilities are in use, and suppose that the joint density function of these variables is f(x, y) = 3 0, (x + 2y), 0 < x < 1,0 < y < 1, elsewhere. %3D a. Find the marginal density of X. b. Find the marginal density of Y. c. Find the probability that the drive-in facility is busy less than one-half of the time.

A privately owned liquor store operates both a drive-in facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-in and walk-in facilities are in use, and suppose that the joint density function of these variables is f(x, y) = 3 0, (x + 2y), 0 < x < 1,0 < y < 1, elsewhere. %3D a. Find the marginal density of X. b. Find the marginal density of Y. c. Find the probability that the drive-in facility is busy less than one-half of the time.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

ayout References. Mailings Review View Help ternet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. Problem 4 A surgeon regularly performs a certain difficult operation. The probability of success for any one such operation is 73%. Fifty of these operations are scheduled. Let X represent the number of successful operations. a) Use Excel to construct a probability distribution table for this situation. If necessary, round probability values in your table to 9 decimal places. b) Use your probability distribution table to answer the following questions. "Be sure to highlight the indicated values in your table. i. ii. What is the probability that exactly 40 of the operations are successful? *Highlight in yellow the one value in your probability distribution table that answers this question. What is the probability that more than 40 of the operations are successful? *Highlight in green the values / in your probability distribution that may be used to…
Please with explanation
PLEASE ANSWER ASAP! PROBABILITY (UPVOTE WILL BE GIVEN PLEASE WRITE THE CORRECT ANSWER LEGIBLY. NO LONG EXPLANATION NEEDED.
Plot the probability curve and describe it.
Subject: STATISTICS
Direction: Analyze the relative frequency distribution table below. Then, answer the following questions: What percent of subscribers require less than 25 seconds to download a file? Explain your answer. b. What is the probability that a subscriber chosen at random will require at least 10 seconds but less than 30 seconds to download a file? Explain your answer. a. A Relative Frequency Distribution Percent of subscribers Download time (in seconds) 0-5 0.6 5-10 1.7 10-15 4.3 9.2 15-20 20-25 15.1 25-30 19.2 30-35 19.0 35-40 14.9 40-45 45-50 50-55 9.0 4.5 15 55-60 LO Answer: a. b. Activate Windows Go to PC settings to activate Windows.
> Next question 2 Get a similar question You can retr Complete the following probability distribution table: Probability Distribution Table P(X) - 20 0.3 - 6 0.1 43 0.3 69 Submit Question
PRACTICE ANOTHER Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 225 numbers from this file and r = 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. What is the value of the sample test statistic? (Round your answer to two decimal places.) ANSWER IS NOT 2.57 Find the P-value of the test statistic. (Round your answer to four decimal places.) ANSWER IS NOT 0.0102
Lesson 10 Q7 Calculate the expected value from the following probability distribution.
how do i solve this ?