Weight of the dogs treated at a veterinary clinic are normally distributed

Mathematics
Tutor: None Selected Time limit: 1 Day

& have a mean (μ) of 36.2lbs and a standard deviation σ of 8lbs.


a) what is the probability that a dog weighs less than 26.2lbs 
b) what is the probability that a dog weighs less than 42.2lbs 
c) what is the probability that a dog weighs between 26.2 and 44lbs 

for the following 2problems, first find z (x = μ + z σ) 
d) the probability that all dogs weigh less than x1 lbs is 0.6700; what is the weight x1? 
e) the probability that all dogs weigh less than x2lbs is 0.1003; what is the weight x2? 

i know you guys could solve this with your eyes closed but would really love an explanation. thanks
Apr 22nd, 2015

a. That is, z<-1.25. 0.107

b. That is, z<0.8 . 0.787

c. 0.787-0.107= 0.680

d. z=0.45. So the weight is 36.2+.45*8 = 39.8

e. z=-1.285 . So the weight is 36.2-1.285*8 = 25.92

Apr 22nd, 2015

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Apr 22nd, 2015
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