A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and hi graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the nur of pages with moderate and high graphics output in the sample, respectively. What is the variance of Y given that are no pages with moderate graphics drawn? Express your answer up to three decimal places. • Compute the conditional probabilities of Y given X=0. Recall that P(A|B) = P(ANB) and P(B) P(AN B) = fAB(A, B). • Compute yfylz=0) • Compute the expected value of Y given x-0.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high
graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number
of pages with moderate and high graphics output in the sample, respectively. What is the variance of Y given that there
are no pages with moderate graphics drawn? Express your answer up to three decimal places.
• Compute the conditional probabilities of Y given X=0. Recall that P(A|B)
P(ANB)
and
P(B)
P(AN B) = fAB(A, B).
Compute yfy|r=0)
Compute the expected value of Y given x=0.
Compute y² fy]æ=–0) and take the sum.
Compute the variance of Y given X=1. Note that the 2nd term in the formula is the square of the conditional mean.
Transcribed Image Text:A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number of pages with moderate and high graphics output in the sample, respectively. What is the variance of Y given that there are no pages with moderate graphics drawn? Express your answer up to three decimal places. • Compute the conditional probabilities of Y given X=0. Recall that P(A|B) P(ANB) and P(B) P(AN B) = fAB(A, B). Compute yfy|r=0) Compute the expected value of Y given x=0. Compute y² fy]æ=–0) and take the sum. Compute the variance of Y given X=1. Note that the 2nd term in the formula is the square of the conditional mean.
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