Arecent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50. assume the distribution of hourly wages follows the normal probability distribution. we select a crew member at random.

what is the probability the crew member earns:

(a) between $20.50 and $24.00 per hour (round your answer to 4 decimal places.)

probability

There is a 34.15% probability the crew member earns between $20.50 and $24.00 per hour

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

A recent study of the hourly wages of maintenance crew members for major airlines showed that the mean hourly salary was $20.50, with a standard deviation of $3.50. This means that .

a) What is the probability the crew member earns between $20.50 and $24.00 per hour?

This is the pvalue of the zscore of X = 24.00 subtracted by the pvalue of the zscore of X = 20.50.

X = 24

has a pvalue of 0.8413.

X = 20.50

has a pvalue of 0.50.

This means that there is a 0.8413 - 0.50 = 0.3413 = 34.15% probability the crew member earns between $20.50 and $24.00 per hour

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

whatvare the choices

step-by-step explanation: