Question

For certain workers, the mean wage is $6.50/hr, with a standard deviation of $0.25 If a worker is chosen at random, what is the probability that the worker's wage is between $6.25 and $6.75? Assume a normal distribution of wages.

The probability is _____.

Answer #1

**Given:**

= 6.50/hr, = 0.25

**Find:**

**P(6.25 < X < 6.75)**

Let X be the Workers wage.

Using Central Limit Theorem

P(6.25 < X < 6.75) = P(-1 < Z < 1)

P(6.25 < X < 6.75) = P(Z < 1) - P(Z < -1)

P(6.25 < X < 6.75) = 0.8413 - 0.1587 ............Using standard Normal table

P(6.25 < X < 6.75) = 0.6827

The probability is **0.6827**

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