The number of arrivals per minute at a bank located in the central business district of a large city was recorded over a period of 200 minutes, with the following results:

Arrivals                    Frequency
0...............................................14
1...............................................31
2...............................................47
3...............................................41
4...............................................29
5...............................................21
6...............................................10
7.................................................5
8.................................................2

a. Compute the expected number of arrivals per minute.

b. Compute the standard deviation.

c. What is the probability that there will be fewer than 2 arrivals in a given minute?