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A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contai low, moderate, and high graphic content, respectively. A sample of four pages is selected withou replacement, and X and Y denote the number of pages with moderate and high graphics outpu in the sample, respectively. If the first drawn page has moderate graphics, what is the probability that there are n

A small-business Web site contains 100 pages and 60%, 30%, and 10% of the pages contai low, moderate, and high graphic content, respectively. A sample of four pages is selected withou replacement, and X and Y denote the number of pages with moderate and high graphics outpu in the sample, respectively. If the first drawn page has moderate graphics, what is the probability that there are n

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Answer is not 0.0021 or 0.058266

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. If the first drawn page has moderate graphics, what is the probability that there are no pages with low graphics chosen?
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. If the first drawn page has moderate graphics, what is the probability that there are no pages with low graphics chosen?
Setup the complete pmf first. Here's a part of the pmf table: 3 4 O 0.124357822 ??? ??? ??? ??? 1 ??? ??? ??? ??? 2 3 4 5.35547E-05 Y ??? 0.020657 ??? ??? 0.000918 ??? ??? ??? ??? ??? ??? ??? ??? Since the sample space is limited to X = 1, only focus on probabilities of Y given that X = 1. Compute P (X = 1). Compute the conditional probability being asked. Recall that P(A|B) = P(ANB) P(B) and P(An B) = fAB(A, B).
Transcribed Image Text:Setup the complete pmf first. Here's a part of the pmf table: 3 4 O 0.124357822 ??? ??? ??? ??? 1 ??? ??? ??? ??? 2 3 4 5.35547E-05 Y ??? 0.020657 ??? ??? 0.000918 ??? ??? ??? ??? ??? ??? ??? ??? Since the sample space is limited to X = 1, only focus on probabilities of Y given that X = 1. Compute P (X = 1). Compute the conditional probability being asked. Recall that P(A|B) = P(ANB) P(B) and P(An B) = fAB(A, B).
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