Problem 1) Suppose that a cellular plan costs $20 per month with 30 minutes of use included and that each additional minute of use costs $0.50. If the number of minutes you use in a month is a geometric random variable M with an expected value of E[M] = 1/p = 30 minutes, what is the PMF of C, the cost of the plan for one month?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Problem 1) Suppose that a cellular plan costs $20 per month with 30 minutes of use
included and that each additional minute of use costs $0.50. If the number of minutes you
use in a month is a geometric random variable M with an expected value of E[M] = 1/p = 30
minutes, what is the PMF of C, the cost of the plan for one month?
Transcribed Image Text:Problem 1) Suppose that a cellular plan costs $20 per month with 30 minutes of use included and that each additional minute of use costs $0.50. If the number of minutes you use in a month is a geometric random variable M with an expected value of E[M] = 1/p = 30 minutes, what is the PMF of C, the cost of the plan for one month?
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