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The Life of a Battery Is a Random Variable with Probability

Question 64

Short Answer

The life of a battery is a random variable with probability density function f(x)=356x2f ( x ) = \frac { 3 } { 56 } x ^ { 2 } , 2x42 \leq x \leq 4 where x is the time in months. Calculate E(X).
Enter just a reduced fraction of form ab\frac { a } { b } unlabeled.

Correct Answer:

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