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6.106. Referring to the previous exercise, let x and y be waiting times on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible values for w is the interval from 0 to 40 (because both x and y can range from 0 to 20). It can be shown that the probability distribution of w is as pictured (this curve is called a triangular distribution, for obvious reasons!): 0.05 Density Explain your reasoning. 20 40 Minutes a. Shade the area under the density curve that corresponds to P(w > 35). b. Put the following probabilities in order from smallest to largest: P(w < 10) P(20 < w < 25) P(25 < w < 30) P(w > 30)

6.106. Referring to the previous exercise, let x and y be waiting times on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible values for w is the interval from 0 to 40 (because both x and y can range from 0 to 20). It can be shown that the probability distribution of w is as pictured (this curve is called a triangular distribution, for obvious reasons!): 0.05 Density Explain your reasoning. 20 40 Minutes a. Shade the area under the density curve that corresponds to P(w > 35). b. Put the following probabilities in order from smallest to largest: P(w < 10) P(20 < w < 25) P(25 < w < 30) P(w > 30)

MATLAB: An Introduction with Applications
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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6.106. Referring to the previous exercise, let x and y be waiting times on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible values for w is the interval from 0 to 40 (because both x and y can range from 0 to 20). It can be shown that the probability distribution of w is as pictured (this curve is called a triangular distribution, for obvious reasons!): 0.05 Density Explain your reasoning. 20 40 W Minutes a. Shade the area under the density curve that corresponds to P(w > 35). b. Put the following probabilities in order from smallest to largest: P(w < 10) P(20 < w< 25) P(25 < w <30) P(w > 30)
Transcribed Image Text:6.106. Referring to the previous exercise, let x and y be waiting times on two independently selected days. Define a new random variable w by w = x + y, the sum of the two waiting times. The set of possible values for w is the interval from 0 to 40 (because both x and y can range from 0 to 20). It can be shown that the probability distribution of w is as pictured (this curve is called a triangular distribution, for obvious reasons!): 0.05 Density Explain your reasoning. 20 40 W Minutes a. Shade the area under the density curve that corresponds to P(w > 35). b. Put the following probabilities in order from smallest to largest: P(w < 10) P(20 < w< 25) P(25 < w <30) P(w > 30)
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