E, x> 10 (0, х< 10 given by f (x) = a. Find P(X > 20) b. What is the cumulative distribution function of X? c. What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?
E, x> 10 (0, х< 10 given by f (x) = a. Find P(X > 20) b. What is the cumulative distribution function of X? c. What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![8. The probability density function of X , the lifetime of a certain type of electronic device(measured in hours) is
(10
x > 10
given by f (x) = {x2
x< 10
а.
Find P(X > 20)
b. What is the cumulative distribution function of X?
С.
What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What
assumptions are you making?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce20f282-edd0-4d95-8388-fa7e97147411%2Fab2c24c3-fed8-4918-9d0f-28d966c24380%2F3xt0if_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8. The probability density function of X , the lifetime of a certain type of electronic device(measured in hours) is
(10
x > 10
given by f (x) = {x2
x< 10
а.
Find P(X > 20)
b. What is the cumulative distribution function of X?
С.
What is the probability that, of 6 such types of devices, at least 3 will function for at least 15 hours? What
assumptions are you making?
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