12. Let the random variable X be the ounces of soda in each can. Under normal operation X is a normal distribution with mean 12.1 oz and standard deviation 0.2 oz. An engineer is monitoring the accuracy of the soda dispensing machine by doing systematic samples of 40 cans coming off the conveyor belt. Approximate the value of c accordingly: (a) Pr ( X≤c ) = 0.05 (b) Pr ( X≤c ) = 0.1 (c) Pr ( (d) Pr ( 150a X-12.1≤c ) = 0.9 X-12.1≥c ) = 0.05

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12. Let the random variable X be the ounces of
soda in each can. Under normal operation X is
a normal distribution with mean 12.1 oz and
standard deviation 0.2 oz. An engineer is
monitoring the accuracy of the soda dispensing
machine by doing systematic samples of 40
cans coming off the conveyor belt.
Approximate the value of c accordingly:
(a) Pr ( X≤c ) = 0.05
(b) Pr (
X≤c ) = 0.1
(c) Pr ( X-12.1≤c ) = 0.9
(d) Pr (X-12.1≥c ) = 0.05
(a)-12.2 (b)-12.1 (c) 0.052 (d) 0.089
Transcribed Image Text:12. Let the random variable X be the ounces of soda in each can. Under normal operation X is a normal distribution with mean 12.1 oz and standard deviation 0.2 oz. An engineer is monitoring the accuracy of the soda dispensing machine by doing systematic samples of 40 cans coming off the conveyor belt. Approximate the value of c accordingly: (a) Pr ( X≤c ) = 0.05 (b) Pr ( X≤c ) = 0.1 (c) Pr ( X-12.1≤c ) = 0.9 (d) Pr (X-12.1≥c ) = 0.05 (a)-12.2 (b)-12.1 (c) 0.052 (d) 0.089
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