Chapters: Normal and Exponential randomvariables.Q: Let X be an exponential rv with 1 = 1/4.a. What is the mean of X.b. Find the value of a such that P(a < X

Answered: Chapters: Normal and Exponential random…

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...

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Find the standard deviation. (Enter an exact number as an integer, fraction, or decimal.) x P(x) x*P(x) (x − ?)2P(x) 2 0.1 2(0.1) = 0.2 (2 − 5.4)2(0.1) = 1.156 4 0.3 4(0.3) = 1.2 (4 − 5.4)2(0.3) = 0.588 6 0.4 6(0.4) = 2.4 (6 − 5.4)2(0.4) = 0.144 8 0.2 8(0.2) = 1.6 (8 − 5.4)2(0.2) = 1.352
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The time it takes to drive from Austin to Bastrop depends on the route taken: Probability of Travel time|Route Route Taking Route (in minutes) 90% Normal(u = 60, o = 5) HWY 71 MLK 8% Uniform[55, 75] 95 to 270 2% Exponential(mean= 65) Let T denote the travel time between Austin and Bastrop. Determine Var[T]. 1. Less than 80 minutes. 2. At least 110, but less than 120 minutes. 3. At least 80, but less than 100 minutes. 4. At least 120 minutes. 5. At least 100, but less than 110 minutes.
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Chapters: Normal and Exponential random variables. Q: Let X be an exponential rv with = 1/4. a. What is the mean of X. b. Find the value of a such that P(a < X < a + 1).