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 200minutes, with the results shown in the table below. Complete(a) through(c) to the right.

Arrivals Frequency

0 20

1 43

2 42

3 36

4 24

5 17

6 11

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 givenminute?