Two service lines are operated in a service facility. On a randomly selectedday, let X be the proportion of the time that the first line is in use whereas Y is theproportion of time that the second line is in use. Suppose that the joint probabilitydensity function for (X, Y) isf(x, y) = { 7(x* + y²), 0

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Answered: a. Compute the probability that neither…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let the probability of rainfall occurrence on any day in the month of December be 0.3. If you are wishing a no-rainfall 7-day period as you are planning for a 7-day study tour. Find the probability that the rainfall will not occur in these 7 days. Find the probability of 1 rainy day during these 7 days.
The probability that Luis will pass his statistic test is 0.62. Find the probability that he will fail his statistic test.
Find the probability of throwing a sum of 8 at least 2 times 8 throws of a pair of fair 6-sided dice. Answer to the nearest 0.0001.
In a certain year, the probability that a stock was in the Information Technology sector was 0.1353. The probability that the stock had a dividend yield of 2.00% or higher given that it was in the Information Technology sector was 0.2988. The probability that a stock had a dividend yield of 2.00% or higher given that it was not in the Information Technology sector was 0.4469. Find the probability that the stock was in the Information Technology sector given that it had a dividend yield of 2.00% or higher. Let F be the event that a stock was in the Information Technology sector and E be the event that a stock had a dividend yield of 2.00% or higher. P(F)= and P P (F') =
Suppose that at a college, 55% of the students earn a degree at the end of four years and 27% earn a degree at the end of five years. What is the probability of earning a degree at the end of four or five years? Give your answer exactly as a decimal (not as a percent).
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The airline knows that about 7 percent of those who buy a plane ticket do not arrive for the flight. The plane has seats for 250 passengers, but the airline has sold 265 tickets. Approximate the probability that there will be enough seats for everyone arriving on the flight.
Solve the following. 1. Over the last several years, the use of cellphones has increased dramatically. An article in USA Today reported that according to a poll, the mean talking time per month for cellphones was 372 minutes for men and 275 for women, while the mean talking time per month for traditional home phones was 334 minutes for men and 510 minutes for women. Suppose that the poll was based on a sample of 100 men and 100 women, and that the standard deviation of the talking time per month for cellphones was 120 minutes for men and 100 minutes for women, while the standard deviation of the talking time per month for traditional home phone was 100 minutes for men and 150 minutes for women. (critical value = +1.96) a. Is there evidence of a difference in the mean monthly talking time on cellphones for men and women? b. Is there evidence of a difference in the mean talking time on traditional home phone for men and women?

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a. Compute the probability that neither line is busy more than half the time. b. Find the probability that the first line is busy more than 75% of the time.