Customers in a Bank In the Ames International Campus Bank (open 24h every day) 5 customers arrive on average during an hour. Ans
wer the following questions. First write down the problem in terms of some random variables and write down what distribution assumptions you make about these random variables. (a) What is the probability that during an hour no customer arrives? (b) What is the probability that during an hour, 7 or more customers arrive? (c) What is the probability that there's more than 30 minutes between the 2nd and 3rd customer of the day? (d) What is the probability that you have to wait less than an hour for seven customers to arrive? (e) How many minutes do you expect to wait until the 12th customer arrives? (f) How many minutes do you expect to wait on average between arrivals?
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Answer:
Find out the what is the eighth term in the arithmetic sequence defined by the explicit formula.
To prove
As given the explicit formula for the arithmetic sequence .
Put n = 8
Therefore the eighth term in the arithmetic sequence is 23 .