15. A random variable Y follows a Standard Beta distribution with a= 2 and B=8 Find each of the following:a) The mean =b) The Standard Deviation =c) The Probability Y < 0.3,Show work

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Answered: 15. A random variable Y follows a…

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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Assume that X has a normal distribution, and find the indicated probability. 7) The mean is μ = 15.2 and the standard deviation is o = 0.9. Find the probability that X is between 14.3 and 16.1. A) 0.1587 B) 0.6826 C) 0.8413 D) 0.3413 7)
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Let X denote the data transfer time (ms) in a grid computing system (the time required for data transfer between a "worker" computer and a "master" computer. Suppose that X has a gamma distribution with mean value 37.5 ms and standard deviation 21.3. Round all answers to 4 decimal places and 3 = b) What is the probability that data transfer time exceeds 49 ms? a) What are the values of a = ? c) What is the probability that the data transfer time is between 49 and 67 ms?

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15. A random variable Y follows a Standard Beta distribution with a= 2 and B= 8 Find each of the following: a) The mean = b) The Standard Deviation = c) The Probability Y < 0.3, Show work