Question

General hospital's patient account division has compiled data on the age of accounts receivable, the data collected indicates that the age of the account follows a normal distribution withstudent submitted image, transcription available below

I. what is the probability that the age of the account fall between 39 and 45 days old?

Answer 1

To find the probability that the age of the accounts fall between 39 and 45 days old, we need to standardize the values and calculate the area under the normal distribution curve between these two values.

Step-by-step explanation:

To find the probability that the age of the accounts fall between 39 and 45 days old, we need to calculate the area under the normal distribution curve between these two values.

First, we need to standardize the values using the mean and standard deviation provided. The formula for standardizing is: z = (x - mean) / standard deviation.

Once we have the standardized values, we can use a table or calculator to find the area under the curve between the z-scores of the two values.

Alternatively, we can use the cumulative distribution function (CDF) of the normal distribution to find the probability directly. The CDF gives us the area under the curve to the left of a given z-score.

In this case, we would calculate CDF(45) - CDF(39) to find the probability that the age of the account falls between 39 and 45 days old.