1. Arianne found a damaged die that is twice as likely to give a prime number than anonprime number. Let X be the outcome when this damaged die is tossed once.a. Give the probability mass function of X in tabular and piece-wise function formb. Compute the mean and variance of X

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Answered: 1. Arianne found a damaged die that is…

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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In the transmission of digital information, the probability that a bit has high, moderate, or low distortion is 0.03, 0.05, and 0.92. Suppose that three bits are transmitted and that the amount of distortion of each bit is assumed to be independent. Let X and Y denote the number of bits with high and moderate distortion out of three transmitted, respectively. Determine the following (round all of your answers to 4 decimal places): (a) The probability that two bits have high distortion and one has moderate distortion. i (b) The probability that all three bits have low distortion. (c) The probability distribution, mean, and variance of X. Distribution: x fx(x) 1 2 i i 3 i 0 i Mean: E(X) = 1 (d) The conditional probability distribution, conditional mean, and conditional variance of X given that Y = 2. Distribution: X fx|Y=2(x) i i Variance: V(X) = Mean: E(X | Y = 2) = i Variance: V(X | Y = 2) = i
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I need part d) ONLY
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A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the company. If 90 relays are selected at random from those in use by the company, find the probability that at most 59 of these relays come from supplier A. Assume that the company uses a large number of relays. (Use the normal approximation. Round your answer to four decimal places.)
pls answer completely.

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1. Arianne found a damaged die that is twice as likely to give a prime number than a nonprime number. Let X be the outcome when this damaged die is tossed once. a. Give the probability mass function of X in tabular and piece-wise function form b. Compute the mean and variance of X