11. 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. Calculate: (a) Pr ( X≤12.0) (b) Pr ( X≤11.9) (c) Pr (X-12.1≤0.09 ) (d) Pr ( X-12.120.06 ) 12. Let the random variable X be the soda in each can. Under normal a normal distribution with mean standard deviation 0.2 oz. An eng monitoring the accuracy of the se machine by doing systematic sam cans coming off the conveyor be Approximate the value of c acco (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

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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11. 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. Calculate:
(a) Pr ( X≤12.0 )
(b) Pr (
X≤11.9)
(c) Pr ( X-12.1≤0.09 )
(d) Pr (X-12.1≥0.06 )
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-12.12c ) = 0.05
(a)-12.2 (b) -12.1 (c) 0.052 (d) 0.089
Transcribed Image Text:11. 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. Calculate: (a) Pr ( X≤12.0 ) (b) Pr ( X≤11.9) (c) Pr ( X-12.1≤0.09 ) (d) Pr (X-12.1≥0.06 ) 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-12.12c ) = 0.05 (a)-12.2 (b) -12.1 (c) 0.052 (d) 0.089
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