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# Probability Help

Posted on 2016-07-21

Can you please help me figure this out? Thanks.

Suppose managers at a company wish to meet the increasing demand for color photocopies and to have more reliable service. Based on historical data, the chance that a black-and-white copier will be down for repairs is 0.12. The color copiers are more of a problem and are down 23% of the time. As a goal, they would like to have at least a 99.90% chance of being able to furnish a black-and-white copy or a color copy on demand. They also wish to purchase only four copiers. They have asked for advice regarding the mix of black-and-white and color copiers. Supply them with advice on how to purchase the greatest number of color copiers while also meeting their goal regarding the furnishing of a copy on demand. Provide calculation and reasons to support that advice. (Assume that the color copier can also be used to make a black-and- white copy.)

The manager should purchase

a. 2

b 1

c. 4

d. 0

e. 3

black-and-white copier(s) and

a. 1

b. 0

c. 4

d. 3

e. 2

color copier(s). If they do this, they will have a ____ % chance of being able to furnish at least a black-and-white copy or a color copy on demand.