The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of $29.81 per hour and a standard deviation of $9.31 per hour. What is the probability that the hourly pay of a randomly selected flight attendant: a. Is between the mean and $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)

b. Is more than $35.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)

c. Is less than $20.00 per hour? (Round intermediate calculations to 2 decimal places and final answer to 4 decimal places.)

a

b

c

Step-by-step explanation:

From the question we are told that

    The mean is  

    The standard deviation is

Generally the probability that the hourly pay of a randomly selected flight attendant  Is between the mean and $35.00 per hour is mathematically represented as

=>  

From the z table  the area under the normal curve to the left corresponding to  0 and  0.5575   is  

and

=>  

=>  

Generally the probability that the hourly pay of a randomly selected flight attendant  Is more than $35.00 per hour is mathematically represented as

From the z table  the area under the normal curve to the right  corresponding to 0.5575   is  

=>  

Generally the probability that the hourly pay of a randomly selected flight attendant Is less than $20.00 per hour is mathematically represented as

From the z table  the area under the normal curve to the right  corresponding to -1.0537  is  

=>      

c

step-by-step explanation:

d.192

step-by-step explanation:

12*16=192