A factory produced two equal size batches of radios. All the radios look alike, but the lifetime of a radio in the first batch is continuous and uniformly distributed over the interval from 0 to 3 years, while the lifetime of a radio in the second batch is exponentially distributed with parameter λ=1. Answer the two questions below. Suppose Alicia bought a radio and after 4 years it is still working. What is the conditional probability it will still work for at least 5 more years? Now suppose Venkatesh bought a radio and after 1 year it is still working. What is the conditional probability it will work for at least 5 more years? For symbolic expressions, all numbers must be rational: use 1/10 instead of 0.1.

A factory produced two equal size batches of radios. All the radios look alike, but the lifetime of a radio in the first batch is continuous and uniformly distributed over the interval from 0 to 3 years, while the lifetime of a radio in the second batch is exponentially distributed with parameter λ=1. Answer the two questions below. Suppose Alicia bought a radio and after 4 years it is still working. What is the conditional probability it will still work for at least 5 more years? Now suppose Venkatesh bought a radio and after 1 year it is still working. What is the conditional probability it will work for at least 5 more years? For symbolic expressions, all numbers must be rational: use 1/10 instead of 0.1.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 60CR

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