LetK be a discrete random variable that can take the values 1, 2, and 3, all with equal probability. Suppose that X takes values in [0, 1] and that for x in that interval we have 1, if k = 1, fxK (x|k) = { 2x, if k = 2, 3x?, if k = 3. Find the probability that K = 1, given that X = 1/2.

LetK be a discrete random variable that can take the values 1, 2, and 3, all with equal probability. Suppose that X takes values in [0, 1] and that for x in that interval we have 1, if k = 1, fxK (x|k) = { 2x, if k = 2, 3x?, if k = 3. Find the probability that K = 1, given that X = 1/2.

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Description: LetK be a discrete random variable that can take the values 1, 2, and 3, all with equal probability. Suppose that X takes values in [0, 1] and that for x in that intervalwe haveif k = 1,if k = 2,3x?, if k = 3.1,fxK (x|k) =2x,Find the probability tha

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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Binomial Distribution

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Question

LetK be a discrete random variable that can take the values 1, 2, and 3, all with equal probability. Suppose that X takes values in [0, 1] and that for x in that interval
we have
if k = 1,
if k = 2,
3x?, if k = 3.
1,
fxK (x|k) =
2x,
Find the probability that K = 1, given that X = 1/2.

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