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3 years ago

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The weight of an organ in adult males has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 25 gr

ams. Use the empirical rule to determine the following. (a) About 68% of organs will be between what weights? (b) What percentage of organs weighs between 275 grams and 375 grams? (c) What percentage of organs weighs less than 275 grams or more than 375 grams? (d) What percentage of organs weighs between 300 grams and 400 grams?

1 answer:

vampirchik [111]3 years ago

5 0

Answer:

(a) between 300 grams and 350 grams (b) 95% (c) 5% (d) 83.85%

Step-by-step explanation:

We have that $\mu = 325$ grams and $\sigma = 25$ grams. Let's compute the following figures to use the empirical rule

$\mu + \sigma = 325 + 25 = 350$

$\mu + 2\sigma = 325 + 2(25) = 375$

$\mu + 3\sigma = 325 + 3(25) = 400$

$\mu - \sigma = 325 - 25 = 300$

$\mu - 2\sigma = 325 - 2(25) = 275$

$\mu - 3\sigma = 325 - 3(25) = 250$

using the image below that was made it with help of the empirical rule we find the next figures

(a) About 68% of organs will be between 300 grams and 350 grams

(b) 95% of organs weights between 275 grams and 375 grams

(c) 5% of organs weights less than 275 grams or more than 375 grams

(d) 83.85% of organs weights between 300 grams and 400 grams

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