(A) Explanation Given: The shelf life (in months) of a certain drug is a continuous random variable with probability density function f ( x ) = { 50 ( x + 50 ) 2 if x ≥ 0 0 otherwise . Definition used: Probability Density Function: “The function f ( x ) is a probability density function for a continuous random variable X if, 1. f ( x ) ≥ 0 for all x ∈ ( − ∞ , ∞ ) . 2. ∫ − ∞ ∞ f ( x ) d x = 1 . 3. The probability that X lies in the interval [ c , d ] is given by P ( c ≤ x ≤ d ) = ∫ c d f ( x ) d x ”. Calculation: The probability that the drug has a shelf life between 50 and 100 months is calculated by using above definition (B) To determine To find: The probability that the drug has a shelf life at most 20 months. (C) To determine To find: The probability that the drug has a shelf life is more than 10 months.

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Chapter 11.2, Problem 3MP

(A)

To determine

To find: The probability that the drug has a shelf life between 50 and 100 months.

(B)

To determine

To find: The probability that the drug has a shelf life at most 20 months.

(C)

To determine

To find: The probability that the drug has a shelf life is more than 10 months.

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Chapter 11.2, Problem 2MP

Chapter 11.2, Problem 4MP

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Chapter 11 Solutions

EBK CALCULUS FOR BUSINESS, ECONOMICS, L

Ch. 11.1 - Evaluate the following, if it converges: 3dx(x1)2.Ch. 11.1 - Prob. 2MP Ch. 11.1 - Prob. 3MP Ch. 11.1 - Prob. 4MP Ch. 11.1 - Prob. 5MP Ch. 11.1 - Prob. 6MP Ch. 11.1 - Prob. 1ED Ch. 11.1 - Prob. 2ED Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E

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