Please answer Question 3  b and c, as well as Question 4

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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Please answer Question 3  b and c, as well as Question 4

3. The times required to finish two projects, say X and Y, are independently and normally distributed with means of 70 and 75 minutes and standard deviations of 8 and 10
minutes, respectively. Find the following probabilities: (a) P(X + Y ≥ 145), (b) P(−18 ≤ X − Y ≤ 16), (c) P(122 ≤ X + Y ≤ 168).
4. Referring to Problem 3, determine the probability distribution of the random variable U = 2X + 3Y.
Transcribed Image Text:3. The times required to finish two projects, say X and Y, are independently and normally distributed with means of 70 and 75 minutes and standard deviations of 8 and 10 minutes, respectively. Find the following probabilities: (a) P(X + Y ≥ 145), (b) P(−18 ≤ X − Y ≤ 16), (c) P(122 ≤ X + Y ≤ 168). 4. Referring to Problem 3, determine the probability distribution of the random variable U = 2X + 3Y.
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