Question

In: Statistics and Probability

The weights of a certain dog breed are approximately normally distributed with a mean of 49...

The weights of a certain dog breed are approximately normally distributed with a mean of 49 pounds, and a standard deviation of 6.3 pounds. Answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.

a) Find the percentage of dogs of this breed that weigh less than 49 pounds. %
b) Find the percentage of dogs of this breed that weigh less than 46 pounds. %
c) Find the percentage of dogs of this breed that weigh more than 46 pounds. %

Solutions

Expert Solution

Let X denote the random variable representing the weights of the dog breed, in pounds.

Now, we are given that the distribution of X is approximately normally distributed with a mean of 49 pounds and a standard deviation of 6.3 pounds. Thus, we get:

a)

The percentage of dogs of this breed that weigh less than 49 pounds is given by:

b)

The percentage of dogs of this breed that weigh less than 46 pounds is given by:

c)

The percentage of dogs of this breed that weigh more than 46 pounds is given by:

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orchestra answered 1 year ago
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