Lisa Mendes and Brad Lee work in the sales department of an AT&T Wireless Store.
ID: 3130138 • Letter: L
Question
Lisa Mendes and Brad Lee work in the sales department of an AT&T Wireless Store. Lisa has been signing in an average of 52 new cell phone customers every month with a standard deviation of 25, while Brad signs in an average of 62 new customers with a standard deviation of 16. The store manager offers both Lisa and Brad a $90 incentive bonus if they can sign in more than 90 new customers in a month. Assume a normal distribution to answer the following questions. Use Table 1.
What is the probability that Lisa will earn the $90 incentive bonus? (Round "z" value to 2 decimal places and final answer to 4 decimal places.)
What is the probability that Brad will earn the $90 incentive bonus? (Round "z" value to 2 decimal places and final answer to 4 decimal places.)
Lisa Mendes and Brad Lee work in the sales department of an AT&T Wireless Store. Lisa has been signing in an average of 52 new cell phone customers every month with a standard deviation of 25, while Brad signs in an average of 62 new customers with a standard deviation of 16. The store manager offers both Lisa and Brad a $90 incentive bonus if they can sign in more than 90 new customers in a month. Assume a normal distribution to answer the following questions. Use Table 1.
Explanation / Answer
a.
Mean ( u ) =52
Standard Deviation ( sd )=25
Normal Distribution = Z= X- u / sd ~ N(0,1)
P(X > 90) = (90-52)/25
= 38/25 = 1.52
= P ( Z >1.52) From Standard Normal Table
= 0.0643
probability that Lisa will earn the $90 incentive bonus = 0.0643
b.
Mean ( u ) =62
Standard Deviation ( sd )=16
Normal Distribution = Z= X- u / sd ~ N(0,1)
P(X > 90) = (90-62)/16
= 28/16 = 1.75
= P ( Z >1.75) From Standard Normal Table
= 0.0401
probability that Brad will earn the $90 incentive bonus = 0.0401
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