It is estimated that an average of 30 customers will arrive at an Airport check-in counters...

It is estimated that an average of 30 customers will arrive at an Airport check-in counters per hour.

a) Let X be the number of customers arrive at the counter over three hours. What is the distribution of X?

b) Let X be the number of customers arrive at the counter over three hours. How many customers would you expect in three hours?

c)What is the probability of 3 customers arriving within 10 mins? State the appropriate distribution and any parameter values. Write the probability statement and show your work in order to solve the problem.

d) Let Y represent the amount of time between the 1st customer arrive and the 10th customer arrive. What is the expected value of Y?

e) If the amount of time between two customers arriving is less than a minute, the airport will open extra counters. What is the probability that the airport will open extra counters? State the appropriate distribution and any parameter values.

I need help on c, d, and e in particular. Please explain these parts in detail and show your work.

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Expert Solution

orchestra answered 1 year ago

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