wing probablity distribution, the random variable x represents the number of activities a pare ade student is invoived in. Complete parts (a) chrough (f) below. X 1 2 3 4 P(x) 0.082 0.077 0.112 0.294 0.435 a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is and each probability is

wing probablity distribution, the random variable x represents the number of activities a pare ade student is invoived in. Complete parts (a) chrough (f) below. X 1 2 3 4 P(x) 0.082 0.077 0.112 0.294 0.435 a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because the sum of the probabilities is and each probability is

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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Allen Abbott has a wide-curving, uphill driveway leading to his garage. When there is a heavy snow, Allen hires a local carpenter, who shovels snow on the side in the winter, to shovel his driveway. The snow shoveler charges $30 to shovel the driveway. Following is a probability distribution of the number of heavy snows each winter: Heavy Snows Probability 1 .13 2 .18 4 .26 5 .23 6 .10 7 .07 .03 1.00 Allen is considering purchasing a new self-propelled snowblower for $625 that would allow him, his wife, or his children to clear the driveway after a snow. Discuss what you think Allen’s decision should be and why.
An investment analyst collects data on stocks and notes whether or not dividend were paid and whether or not the stocks increased in price over a given period. Data are presented in the following table: Price Increase No Price Increase Dividends paid 40 75 No dividends paid 87 48 Given that a stock increased in price, what is the probability that it also paid dividends?
How many cups-o-joe do you drink? About 72% of Americans drink coffee. How much they drink: 1 cup a day 27% 2 or more cups a day 45% 2 cups 1 сup a week a week 15% 13% Source: Braun Research for International Delight Coffee House Inspirations Use the information in this display to answer the following questions. Assume that the percentages in the graph are representative of adult Americans. (a) What is the probability that a randomly selected adult American drinks coffee? (b) The display associates 13% with the category "one cup of coffee a week." For the chance experiment that consists of selecting an adult American at random, is 0.13 the probability that the selected individual drinks one cup of coffee a week, or is it the conditional probability that the selected individual drinks one cup of coffee a week given that he or she drinks coffee? Explain. O This is the probability that the selected individual drinks one cup of coffee a week, because that probability is less than 72%,…
In Izmir University of Economics, a statistics professor has office hours from 9:00 AM to 10:00 AM each day in 2020. The number of students waiting to see the professor is a random variable, X, with the distribution shown in the table. 1 2 3 4 P(X= x) 0.05 0.10 0.40 0.25 0.15 0.05 The professor gives each student 10 minutes. Determine the probability that a student arriving just after 9:00 AM will have to wait at least 30 minutes to see the professor. O A. 0.25 О В. 0.45 O C. 0.85 O D. 0.15
The number of sodas a vendor sells daily has the probability distribution represented in the table. Number of Sodas, x 0 5 10 15 20 25 P(x) 0.01 0.15 0.25 0.3 0.25 0.04 If each soda sells for $2.50, what is the expected daily total dollar amount taken in by the vendor from the sale of sodas? $2.50 $34.38 $13.75 $31.25
Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X. X 0 1 2 3 4 or more Probability 0.58 0.23 0.11 0.05 0.03 If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F. (a) Construct the probability distribution of the random variable Y. (b) Determine the mean and standard deviation of Y. Show your work. Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0.40 and 0.66, respectively. The fat quarters sell for $5.00 each, but are discounted by…
A data scientist tracked how many cups of coffee she drank every day at work over the course of a year. She used the data to build a probability distribution where the random variable CCC represents the number of cups of coffee she drank on a given day. Here is the distribution: Calculate the mean of CCC.
An officer of the state lottery commission has sampled lottery ticket purchasers over a 1-week period at one location. The amounts distributed back to the purchasers and the associated probabilities for 5000 tickets are as follows: Distribution, $ 0 2 5 10 100 Probability 0.9 0.055 0.025 0.013 0.007 If a ticket costs $5, estimate the chances of receiving more than the cost of the ticket. The chances of receiving more than the cost of the ticket are %?
Assume that 12 jurors are randomly selected from a population in which 60% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. Number of Mexican-Americans Probability 0 0 1 0.0003 2 0.0025 3 0.0125 4 0.042 5 0.1009 6 0.1766 7 0.227 8 0.2128 9 0.1419 10 0.0639 11 0.0174 12 0.0022 a) Find the probability of at most 4 Mexican-Americans among 12 jurors. Give answer as a decimal. b) Find the probability of more than 4 Mexican-Americans among 12 jurors. Give answer as a decimal.
Do you tailgate the car in front of you? About 25% of all drivers will tailgate before passing, thinking they can make the car in front of them go faster. Suppose that you are driving a considerable distance on a two-lane highway and are passed by 11 vehicles. (a) Let r be the number of vehicles that tailgate before passing. Make a histogram showing the probability distribution of r for r = 0 through r = 11.
British Travel Agency has asked a junior manager to investigate flight delays during the week before Christmas at Heathrow Airport. The random variable X is the number of flights delayed per hour. The results are shown in the following table. x 0 1 5 2 3 4 6 7 8. p(x) 0.10 0.08 0.07 0.15 0.12 0.08 0.10 0.12 0.08 0.10 a) Show that the probability distribution is well defined and derive the cumulative probability distribution. b) Find the probability that there would be three through seven (inclusive) delayed flights per hour? c) Find the mean and variance of flights delayed per hour.