Marketing estimates that a new instrument for the analysis of soil samples will be very successful, moderately successful, or unsuccessful, with probabilities 0.3, 0.6, and 0.1, respectively. The yearly revenue associated with a very successful, moderately

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 48E: Quality Control To control the quality of their product, the Bright-Light Company inspects three...
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Marketing estimates that a new instrument for the analysis of soil samples will be very
successful, moderately successful, or unsuccessful, with probabilities 0.3, 0.6, and 0.1,
respectively. The yearly revenue associated with a very successful, moderately
successful, or unsuccessful is $10 million, $5 million, and $1 million, respectively. Let the
random variable X denote the yearly revenue of the product. Determine:
a) the mass function of X;
b) the mean of X; and
c) the variance of X.

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