2. An album is considered to be "certified platinum" if they sell more than 500,000 copies. Let X be the 400 and Sx x3 total number of copies of an album sold, in thousands. Let f(x) = c- = [500, 0) (a) For what value of c is f(x) a valid density? (b) What is the average number of copies sold by a platinum album? (c) What is the probability that a platinum album sells exactly 650,000 copies? (d) What is the probability that a platinum album sells between 450 and 750 thousand copies?

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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2. An album is considered to be "certified platinum" if they sell more than 500,000 copies. Let X be the
total number of copies of an album sold, in thousands. Let f(x) = c-
400
and Sx = [500, ∞)
x3
(a) For what value of c is f(x) a valid density?
(b) What is the average number of copies sold by a platinum album?
(c) What is the probability that a platinum album sells exactly 650,000 copies?
(d) What is the probability that a platinum album sells between 450 and 750 thousand copies?
Transcribed Image Text:2. An album is considered to be "certified platinum" if they sell more than 500,000 copies. Let X be the total number of copies of an album sold, in thousands. Let f(x) = c- 400 and Sx = [500, ∞) x3 (a) For what value of c is f(x) a valid density? (b) What is the average number of copies sold by a platinum album? (c) What is the probability that a platinum album sells exactly 650,000 copies? (d) What is the probability that a platinum album sells between 450 and 750 thousand copies?
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