Suppose that, on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is σ= $12,000. What is the probability that the sample mean is greater than $66,000?

0.15866.

Step-by-step explanation:

We have been given that on average, electricians earn approximately μ= $54,000 per year in the united states. Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is σ= $12,000. We are asked to find the probability that the sample mean is greater than $66,000.

First of all, we will find the z-score corresponding to 66,000 using z-score formula.

Now, we need to find the probability that z-score is greater than 1 that is .

Upon using formula , we will get:

Upon using normal distribution table, we will get:

Therefore, the probability that the sample mean is greater than $66,000 would be 0.15866 or approximately .

im alright what do you need

step-by-step explanation:

the answer is b.)

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