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  

=>      

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.