101. Suppose that P, the price of a certain commodity (in dollars), and S, its total sales (in 10,000 units), are ran- dom variables whose joint probability distribution can be approximated closely with the joint probability density 5pe s for 0.20 0 f(p,s) = elsewhere Find the probabilities that (a) the price will be less than 30 cents and sales will exceed 20,000 units; (b) the price will be between 25 cents and 30 cents and sales will be less than 10,000 units.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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101. Suppose that P, the price of a certain commodity (in
dollars), and S, its total sales (in 10,000 units), are ran-
dom variables whose joint probability distribution can be
approximated closely with the joint probability density
5pe-ps for 0.20 <p<0.40, s > 0
f(p,s) =
elsewhere
Find the probabilities that
(a) the price will be less than 30 cents and sales will
exceed 20,000 units;
(b) the price will be between 25 cents and 30 cents and
sales will be less than 10,000 units.
Transcribed Image Text:101. Suppose that P, the price of a certain commodity (in dollars), and S, its total sales (in 10,000 units), are ran- dom variables whose joint probability distribution can be approximated closely with the joint probability density 5pe-ps for 0.20 <p<0.40, s > 0 f(p,s) = elsewhere Find the probabilities that (a) the price will be less than 30 cents and sales will exceed 20,000 units; (b) the price will be between 25 cents and 30 cents and sales will be less than 10,000 units.
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