SOLUTION: . An electrician is testing the accuracy of resistors that have a nominal resistance of 15 Ω (ohms). He finds that the distribution of resistances is approximately normal

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Question 933835: . An electrician is testing the accuracy
of resistors that have a nominal
resistance of 15 Ω (ohms). He finds
that the distribution of resistances is
approximately normal with a mean of
15.08 Ω and a standard deviation of
1.52 Ω. What is the probability that
a) a resistor selected randomly has a
resistance less than 13 Ω?
b) a resistor selected randomly has a
resistance greater than 14.5 Ω?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
mean of 15.08 Ω and a standard deviation of 1.52 Ω.
....
z+=+blue%28x+-+15.08%29%2Fblue%281.52%29
.....
a) P( R < 13) = P( z < -2.08/1.52) = normalcdf( -100, -2.08/1.52) = .0856 0r 8.56%
...
b) P( R > 14.5) = P( z < -.58/1.52) = normalcdf( -.58/1.52, 100) = .6486 0r 64.86%
...
Using a TI calculator 0r similarly a Casio fx-115 ES plus
Recommend Using stattrek.com to check Results
until You are familiar with Using Your Calculator.