A student shows you a paper copy of these results. Unfortunately, he was caught in a snow shower crossing campus, and only part of the table is readable: X 0 1 p(x) .20 F(x) .33 2 3 4 5 .14 .71 .94 a) Fill in the damaged parts of the table. What is P(1 << 5)? b) Calculate the expected number of pita restaurants, E(X). c) Write down the probability generating function (q) = E(q*). Use it to answer the following question: if 94% of all pita restaurants do takeout, what is the probability that all the pita restaurants in a given town do takeout? (Assume they do not consult each other.)
A student shows you a paper copy of these results. Unfortunately, he was caught in a snow shower crossing campus, and only part of the table is readable: X 0 1 p(x) .20 F(x) .33 2 3 4 5 .14 .71 .94 a) Fill in the damaged parts of the table. What is P(1 << 5)? b) Calculate the expected number of pita restaurants, E(X). c) Write down the probability generating function (q) = E(q*). Use it to answer the following question: if 94% of all pita restaurants do takeout, what is the probability that all the pita restaurants in a given town do takeout? (Assume they do not consult each other.)
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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