The length of time it takes to get through the security checks at a very large urban airport is a random variable with true mean= 20.6 minutes and population standard deviation=4.8minutes.Let X= the length of time it takes for an individual to get through the security.

Could X follow a normal distribution? Why or why not?

What is the distribution of the average length of 36 randomly selectedairline passengers.(The distribution of sample means)?mean=standard deviation=(one decimal place is fine here.)

Even if the original population is not normal, why do know that the distribution of sample means will be normal?

Between what ranges do we expect 68% of sample means to lie? lower range=, upperrange=

Between what ranges do we expect 95% of sample means to lie?lower range=, upperrange=

(Report probability as a number between 0 and 1 and round to two decimal places)

What is the probability that the sample mean is greater than 20?