Question

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Assume porphyrin is normally distributed with mean (mu) = 38 milligrams per deciliter and standard deviation (sigma) = 12 milligrams per deciliter.

1. What is the probability that x is less than 56?   Please use 4 decimal places and use the proper rules of rounding. Excel can be a helpful calculator in these problems, especially the Normal Excel file.

2. What is the probability that x is greater than 23?   Please use 4 decimal places and use the proper rules of rounding. Excel can be a helpful calculator in these problems, especially the Normal Excel file.

3. What is the probability that x is between 23 and 56?   Please use 4 decimal places and use the proper rules of rounding. Excel can be a helpful calculator in these problems, especially the Normal Excel file.

Answer 1

Here it is given that distribution is normal with mean (mu) = 38 milligrams per deciliter and standard deviation (sigma) = 12 milligrams per deciliter.

1. Here we need to find

As population is normal we can convert x to z

2. Here we need to find

As population is normal we can convert x to z

3. Now we need to find

Again as distribution is normal we can convert x to z