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. 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

(b) More than $24.00 per hour (Round your answer to 4 decimal places.)

Probability

(c)
Less than $19.00 per hour (Round intermediate calculations to 2 decimal place. Round final answer to 4 decimal place)

Probability

a) 0.3413

b) 0.1587

c) 0.3341

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 20.50 dollars

Standard Deviation, σ = 3.50 dollars

We are given that the distribution of hourly wages is a bell shaped distribution that is a normal distribution.

Formula:

a) P(Between $20.50 and $24.00 per hour

b) P(More than $24.00 per hour)

P(x > 24)

Calculation the value from standard normal z table, we have,  

c) P(Less than $19.00 per hour)

P(x < 19)

Calculation the value from standard normal z table, we have,  

a .4y4

hope this !

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p