A company produces bags of cypress mulch. The weight in pounds per bag varies as indicated in the following table.

Weight In Pounds	44	45	46	47	48	49	50
P (x)	0.04	0.13	0.21	0.29	0.2	0.1	0.03

a. Calculate the CDF ().

b. What is the probability that a randomly chosen bag will contain more than 45 (> 45) and less than 49 (< 49) pounds of mulch?

c. Compute the expectation of the weight.

d. The cost of producing a bag of mulch is 20 + 4 cents, where is the number of pounds per bag. The revenue from selling a bag, regardless of weight, is 2.50 dollars. If = , find the expected profit per bag in dollars using your results from c.