2. A startup company selling a board game must decide on the number of products to produce. A board game costs €6 to make and is to be sold for €18. Unsold games are worthless. The company estimates that the probability distribution for their product is as follows: Amount demanded 1200 1500 1800 Probability 0.55 0.25 0.2 (a) Calculate the company's expected profit if it produces 1500 board games. (b) What is the variance of the profit from (a)?

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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2. A startup company selling a board game must decide on the number of products to
produce. A board game costs €6 to make and is to be sold for €18. Unsold games are
worthless. The company estimates that the probability distribution for their product
is as follows:
Amount demanded
1200
1500
1800
Probability
0.55
0.25
0.2
(a) Calculate the company's expected profit if it produces 1500 board games.
(b) What is the variance of the profit from (a)?
Transcribed Image Text:2. A startup company selling a board game must decide on the number of products to produce. A board game costs €6 to make and is to be sold for €18. Unsold games are worthless. The company estimates that the probability distribution for their product is as follows: Amount demanded 1200 1500 1800 Probability 0.55 0.25 0.2 (a) Calculate the company's expected profit if it produces 1500 board games. (b) What is the variance of the profit from (a)?
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