Ch. 6.1 #7-49 odd
Ch. 6.1 #7-49 odd
Ch. 6.1 #7-49 odd
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15. Waiting to Be Seated The average waiting time to be seated for dinner at a popular restaurant is<br />
23.5 minutes, with a standard deviation of 3.6 minutes. Assume the variable is normally distributed.<br />
When a patron arrives at the restaurant for dinner, find the probability that the patron will have to wait the<br />
following time.<br />
a) Between 15 and 22 minutes<br />
X 15 23.5 8.5<br />
z 2.36<br />
3.6 3.6<br />
X 22 23.5 1.5<br />
z 0.42<br />
3.6 3.6<br />
P( 2.36 z 0.42) 0.3372 0.0091 0.3281<br />
-2.36 -0.42<br />
b) Less than 18 minutes or more than 25 minutes<br />
X 18 23.5 5.5<br />
z 1.53<br />
3.6 3.6<br />
X <br />
25 23.5 1.5<br />
z 0.42<br />
3.6 3.6<br />
P( z 1.53 or z 0.42) 0.0630 (1 0.6628) 0.063 0.3372 0.4002<br />
-1.53 0.42<br />
c) Is it likely that a person will be seated in less than 15 minutes?<br />
X 15 23.5 8.5<br />
z 2.36<br />
3.6 3.6<br />
Pz ( 2.36) 0.0091