Suppose that a random variable X measures the lifetime of a phone battery in days. Suppose its probability density function is: f(x) = (3x^2)      if 0 < x < 1            0,              otherwise What is the probability that of 30 such types of devices, at least 26 will function for at least 0.5 days? You may assume the batteries are independent of each other. Please compute your answer to four decimal places.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Suppose that a random variable X measures the lifetime of a phone battery in
days. Suppose its probability density function is:
f(x) = (3x^2)      if 0 < x < 1

           0,              otherwise
What is the probability that of 30 such types of devices, at least 26 will function for at least 0.5 days? You may assume the batteries are independent of each other. Please compute your answer to four decimal places.

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