(A) Explanation Definition used: If f ( x ) is the probability density function for a continuous random variable X , then the Mean or Expectation of X is μ = E ( X ) = ∫ − ∞ ∞ x f ( x ) d x Calculation: The given function is f ( x ) = { 0.08 ( 20 − x ) if 15 ≤ x ≤ 20 0 othewise . Obtain the contractor’s expected profit as follows. μ = ∫ − ∞ ∞ x f ( x ) d x = ∫ − ∞ 15 x ( 0 ) d x + ∫ 15 20 x ( 0 (B) To determine To find: The median profit of the probability density function.

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Chapter 11.3, Problem 45E

(A)

To determine

To find: The contractor’s expected profits for the probability density function.

(B)

To determine

To find: The median profit of the probability density function.

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Chapter 11.3, Problem 44E

Chapter 11.3, Problem 46E

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The contractor’s expected profits for the probability density function.

Solution Summary: The author explains how to find the contractor's expected profits for the probability density function.