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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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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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