SOLUTION: The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20 grams with a standard deviation of 0.15 grams. For parts (a) through (c), enter

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Question 1178793: The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20 grams with a standard deviation of 0.15 grams.
For parts (a) through (c), enter your responses as a decimal with 2 decimal places.
a) What percentage of mice have a mass of MORE than 19.805 grams?
%
b) What percentage of mice have a mass of LESS than 20.06 grams?
%
c) What percentage of mice have a mass between 19.805 and 20.06 grams?
%
d) 83 % of all mice have a mass of less than
grams.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
normally distributed with a mean of 20 grams with a standard deviation of 0.15 grams.
P(x > 19.805) = 1 -P(x ≤ 19.805) = 1 - normalcdf(-9999, 19.805, 20, .15)= 1-.0968 = .9032 = .90
P(x < 20.06) = normalcdf(-9999, 20.06, 20, .15) = .6554 = .66
P( 19.805 < x <  20.06) =  normalcdf(19.805,20, 20, .15)= .4032 = .40

83 % of all mice have a mass of less than grams. invNorm(.83) = .9542
z+=blue+%28x+-+mu%29%2Fblue%28sigma%29  OR blue%28sigma%29%2Az+%2B+mu=blue+%28x%29
.15* .9542 + 20 < 20.14 g
Wish You the Best in your Studies.