Answered: Let X represent the number of tires…

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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Data were collected from a survey given to graduating college seniors on the number of times they had changed majors. From that data, a probability distribution was constructed. The random variable X is defined as the number of times a graduating senior changed majors. It is shown below: xx 0 1 2 3 4 5 6 7 8 P(X=x)P(X=x) 0.244 0.234 0.233 0.16 0.068 0.039 0.017 0.003 0.002 What is the probability that a randomly selected student changed his or her major at least once? What is the probability that a randomly selected student changed his or her major at most twice? What is the probability that a randomly selected student changed his or her major exactly twice? What is the mean number of times students changed majors? What is the standard deviation of X?
Answer the questions. Let X represent the number of occupants in a fandomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows.
A TV manufacturer receives LCD panels from a certain supplier. Let X denote the number of flaws in a randomly selected LCD panel from this supplier. Suppose that the probability distribution for X is: X 0 1 2 3 4 probability 0.62 0.2 0.14 0.03 0.01 The mean value of X is .
Answer the following questions, Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows.
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The following table represents the joint probability distribution of the number of people waiting in line at Food Truck X and Food Truck Y. Y=0 Y=1 Y=2 Y=3 PX(X=x) X=0 0.32 0.06 0.025 0.01 X=1 0.02 0.05 0.07 X=2 0.025 0.05 0.105 X=3 0.026 0.2 0.05 0.024 PY(Y=y) 0.114 a. Determine the probability of 3 people waiting in line at Food Truck Y and 2 people waiting in line at Food Truck X. b. What is the probability of at most 3 people waiting in line at both Food Truck X and Y combined? c. If at least 2 people are waiting in line at Food Truck X, what is the probability that 3 people are waiting in line at Food Truck Y?
In order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accounting entries. The company's employees make erroneous entries 5% of the time. Suppose that an auditor randomly checks three entries. a Find the probability distribution for Y, the number of errors detected by the auditor. b Construct a probability histogram for p(y). C Find the probability that the auditor will detect more than one error.
Aiyana has purchased the life insurance policy for her snake for the price of $100 per year and Aiyana will receive $5000 in case if her snake passes away. The insurance company estimated the probability of her snake passing away during the length of the policy to be 0.2%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) snake passes away snake survives 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
A small inn has 4 rooms. Let X represent the number of rooms that are rented out on any given Saturday. The following table describes the probability distribution of X. What is the mean of the random variable X? μX =
Measurements for the length and width of rectangular plastic covers for CDs are rounded to the nearest mm. Let X denote the length and Y denote the width. Assume that the joint probability of X and Y is represented by the following table: x = length, y = width 129 130 131 15 0.12 0.42 0.06 16 0.08 0.28 0.04 What is the probability distribution of X?
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was u = 9.3 mg/L with 95% of the data ranging from 6.7 mg/L to 11.9 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. In USE SALT (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed…

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Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.