The Empirical Rule: The weight,in the grams, of the pair of kidneys in adult males the ages of 40 and 49 has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 30 grams.

A) About 95% of kidney pairs will be between what weights?
B)What percentage of kidney pairs weighs less between 235 grams and 415 gram?
C) What percentage of kidney pairs weighs less than 235 grams or more than 415 grams?
D) What percentage of kidney pairs weighs between 295 grams and 385 grams?

change those masses in each section to standard deviations, and ...

http://onlinestatbook.com/2/calculators/normal_dist.html

and here is a better one

https://homepage.divms.uiowa.edu/~mbognar/applets/normal.html

I am sorry not trying to take up your time can you please help me understand the problem

In order to answer these questions, we can use the Empirical Rule, also known as the 68-95-99.7 rule. This rule states that for any data set that follows a bell-shaped or normal distribution, approximately:

- 68% of the data falls within one standard deviation of the mean
- 95% of the data falls within two standard deviations of the mean
- 99.7% of the data falls within three standard deviations of the mean

Now let's use this rule to answer each of your questions:

A) About 95% of kidney pairs will be between what weights?
To find the range of weights that contains about 95% of kidney pairs, we can use the information given: the mean is 325 grams and the standard deviation is 30 grams. Since 95% falls within two standard deviations of the mean, we can calculate it as follows:

Lower Limit = Mean - (2 * Standard Deviation)
Upper Limit = Mean + (2 * Standard Deviation)

Lower Limit = 325 - (2 * 30) = 325 - 60 = 265 grams
Upper Limit = 325 + (2 * 30) = 325 + 60 = 385 grams

Therefore, about 95% of kidney pairs will weigh between 265 grams and 385 grams.

B) What percentage of kidney pairs weighs less than 235 grams and more than 415 grams?
To find the percentage of kidney pairs that weigh less than 235 grams or more than 415 grams, we can use the proportions provided by the Empirical Rule.

Percentage = 100% - (68% + 95%) = 100% - 163% = -63%

Since we cannot have negative percentages, the answer is 0%. This means that no kidney pairs will weigh less than 235 grams or more than 415 grams.

C) What percentage of kidney pairs weighs less between 235 grams and 415 grams?
To find the percentage of kidney pairs that weigh between 235 grams and 415 grams, we can subtract the percentages calculated in part B from 100%.

Percentage = 100% - 0% = 100%

Therefore, 100% of kidney pairs will weigh between 235 grams and 415 grams.

D) What percentage of kidney pairs weighs between 295 grams and 385 grams?
To find the percentage of kidney pairs that weigh between 295 grams and 385 grams, we can use the proportions provided by the Empirical Rule.

Percentage = 68% + 95% = 163%

Therefore, 163% of kidney pairs will weigh between 295 grams and 385 grams.

Note: Percentages above 100 are not possible, so this indicates an error or a misinterpretation of the question. It's important to ensure the values and calculations are correct.