Lisa Mendes and Brad Lee work in the sales department of an AT&T Wireless Store.
ID: 3377754 • 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 58 new cell phone customers every month with a standard deviation of 28, while Brad signs in an average of 66 new customers with a standard deviation of 19. The store manager offers both Lisa and Brad a $105 incentive bonus if they can sign in more than 105 new customers in a month. Assume a normal distribution to answer the following questions.
a) What is the probability that Lisa will earn the $105 incentive bonus? (Round "z" value to 2 decimal places and final answer to 4 decimal places.)
b) What is the probability that Brad will earn the $105 incentive bonus? (Round "z" value to 2 decimal places and final answer to 4 decimal places.)
b) What is the probability that Brad will earn the $105 incentive bonus? (Round "z" value to 2 decimal places and final answer to 4 decimal places.)
Explanation / Answer
A)
We first get the z score for the critical value. As z = (x - u) / s, then as
x = critical value = 105
u = mean = 58
s = standard deviation = 28
Thus,
z = (x - u) / s = 1.68
Thus, using a table/technology, the right tailed area of this is
P(z > 1.68 ) = 0.046478658 [answer]
*******************
B)
We first get the z score for the critical value. As z = (x - u) / s, then as
x = critical value = 105
u = mean = 66
s = standard deviation = 19
Thus,
z = (x - u) / s = 2.05
Thus, using a table/technology, the right tailed area of this is
P(z > 2.05 ) = 0.020182215 [answer]
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