The lifespan of a certain type of electronic component is assumed to follow an exponential distribution with a mean life of 7 hours. a) What is the probability that the electronic component will stop working in less than 8 hours? b) Solve part a) using Minitab. Include the steps and the output. c) What is the probability that the electronic component will stop working in more than 20 hours? d) Solve part c) using Minitab. Include the steps and the output. e) What is the probability that the electronic component will stop working between 3 hours and 5 hours? f) Solve part e) using Minitab. Include the steps and the output. g) Find the value of x such that P(X < x) = 0.80. h) Solve part g) using Minitab. Include the steps and the output.

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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Question 2: Exponential Distribution.
The lifespan of a certain type of electronic component is assumed to follow an exponential
distribution with a mean life of 7 hours.
a) What is the probability that the electronic component will stop working in less than 8
hours?
b) Solve part a) using Minitab. Include the steps and the output.
c) What is the probability that the electronic component will stop working in more than 20
hours?
d) Solve part c) using Minitab. Include the steps and the output.
e) What is the probability that the electronic component will stop working between 3 hours
and 5 hours?
f)
Solve part e) using Minitab. Include the steps and the output.
g) Find the value of x such that P(X < x) = 0.80.
h) Solve part g) using Minitab. Include the steps and the output.
Transcribed Image Text:Question 2: Exponential Distribution. The lifespan of a certain type of electronic component is assumed to follow an exponential distribution with a mean life of 7 hours. a) What is the probability that the electronic component will stop working in less than 8 hours? b) Solve part a) using Minitab. Include the steps and the output. c) What is the probability that the electronic component will stop working in more than 20 hours? d) Solve part c) using Minitab. Include the steps and the output. e) What is the probability that the electronic component will stop working between 3 hours and 5 hours? f) Solve part e) using Minitab. Include the steps and the output. g) Find the value of x such that P(X < x) = 0.80. h) Solve part g) using Minitab. Include the steps and the output.
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