Question

Weekly wages at a certain factory are

normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$450 and $500.

Answer 1

13.59%

Explanation:

Calculate the z-scores.

z = (x − μ) / σ

z₁ = (450 − 400) / 50

z₁ = 1

z₂ = (500 − 400) / 50

z₂ = 2

Use a chart or calculator to find the probability.

P(1 < Z < 2)

= P(Z < 2) − P(Z < 1)

= 0.9772 − 0.8413

= 0.1359

Answer 2

13.5

Explanation:

Acellus sux