The distributor of a machine for cytogenics has developed a new model. The company estimates that when it is introduced into the market, it will be very successful with a probability 0.6, moderately successful with a probability 0.3, and not successful with probability 0.1. The estimated yearly profit associated with the model being very successful is $15 million and with it being moderately successful is $5 million; not successful would result in a loss of $500,000. Let X be the yearly profit of the new model. Determine the probability mass function of X.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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The distributor of a machine for cytogenics has
developed a new model. The company estimates that when it
is introduced into the market, it will be very successful with a
probability 0.6, moderately successful with a probability 0.3,
and not successful with probability 0.1. The estimated yearly
profit associated with the model being very successful is $15
million and with it being moderately successful is $5 million;
not successful would result in a loss of $500,000. Let X be the
yearly profit of the new model. Determine the probability mass
function of X.

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