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
Related questions
Question
![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.
Ans1: symbolic expression
Ans2: symbolic expression](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadda56e8-d5a3-49e5-8cea-7b334afd57cb%2F8469cbc1-32e9-43af-938f-b0077caf3980%2Ftkqzjwj_processed.png&w=3840&q=75)
Transcribed Image Text: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.
Ans1: symbolic expression
Ans2: symbolic expression
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