Answer to Question #76845 in Statistics and Probability for Bradley Neiers

Question

1. The management of a grocery store has kept a record of bad checks received per day for a period of 300 days. The data are shown below.

Number of Bad
Checks Received Number of Days
0 12
1 15
2 35
3 55
4 63
5 35
6 38
7 32
8 15

a) Develop a probability distribution for the above data.
b) Is the probability distribution that you found in Part “a” a proper probability distribution? Explain.
c) Determine the cumulative probability distribution, F(x).
d) What is the probability that in a given day the store receives four or less bad checks?
e) What is the probability that in a given day the store receives more than two bad checks?
f) What is the expected value of the number of checks received?
g) Compute the variance of the number of checks received.
h) Compute the standard deviation of number of checks received.