23. A small press publishes an unpredictable number X of new books each month with (4+69)(3+7q)) probability generating function πx(q) = E(q) = 100 a) Each book they publish in a given month has an 80% chance of reaching a best-seller list. What is the probability that next month all the books they publish will reach the best-seller list? (Hint: remember the post-test interpretation of л?) b) Calculate the expected value and variance of the number of books they will publish next month.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 6E: Suppose the probability of erroneously transmitting a single digit is P=0.03. Compute the...
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23. A small press publishes an unpredictable number X of new books each month with
(4+69)(3+7q))
probability generating function πx(q) = E(q) =
100
a) Each book they publish in a given month has an 80% chance of reaching a best-seller list.
What is the probability that next month all the books they publish will reach the best-seller list?
(Hint: remember the post-test interpretation of π?)
b) Calculate the expected value and variance of the number of books they will publish next
month.
Transcribed Image Text:23. A small press publishes an unpredictable number X of new books each month with (4+69)(3+7q)) probability generating function πx(q) = E(q) = 100 a) Each book they publish in a given month has an 80% chance of reaching a best-seller list. What is the probability that next month all the books they publish will reach the best-seller list? (Hint: remember the post-test interpretation of π?) b) Calculate the expected value and variance of the number of books they will publish next month.
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