The distribution of bladder volume in men is approximately normal with mean 550 ml and standard deviation 100 ml. what percent of men have a bladder volume larger than 450 ml? round to the nearest whole number.

Question

Mathematics

Demarcus Dudley

24 February, 07:36

The distribution of bladder volume in men is approximately normal with mean 550 ml and standard deviation 100 ml. what percent of men have a bladder volume larger than 450 ml? round to the nearest whole number.

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Answers (1)

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Allie Henry · Answer 1

To solve this, we use the z-test.

z = (x - u) / σ

when x = 450

z = (450 - 550) / 100

z = - 1

We use the standard distribution tables to find for P.

P = 0.1587

Since we are looking for values greater than x = 450, therefore:

1 - 0.1587 = 0.8413

This means that 84.13% have bladder volume larger than 450 mL.