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

**Question description**

# & 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

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