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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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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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