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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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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