7. A study of a large number of towns with approximately 100,000 people estimates theprobability that one will have a certain number X of pita restaurants. None of the towns had more than 5. They construct a table of the probability distribution function p(x) = P(X = x) and thecumulative distribution function F(x) = P(X≤x) for the number of pita restaurants in a town.A student shows you a paper copy of these results. Unfortunately, he was caught in a snowshower crossing campus, and only part of the table is readable:X01p(x).20F(x).332.713.1445.94a) Fill in the damaged parts of the table. What is P(1

1To determinethe probability at different values of xthe cumulative distribution functionthe value…

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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 25PPS

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