The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 15 pounds. What is the probability that the weight of the dogs are between 35.5 and 65.5 pounds?​

Given:

The weights of dogs in a dog show is normally distributed.

Mean = 58 pounds

Standard deviation = 15

To find:

The probability that the weight of the dogs are between 35.5 and 65.5 pounds.

Solution:

We know that,

Where, is mean and is the standard deviation.

We need to find the value of .

Level of significance is 95%.

Therefore, the probability that the weight of the dogs are between 35.5 and 65.5 pounds is about 0.6247.

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