Despite all efforts by the quality control department, the fabric made at Benton Corporation

always contains a few defects. A certain type of fabric made at this corporation contains an average of .5

defects per 500 yards.

a. Using the Poisson formula, find the probability that a given piece of 500 yards of this fabric will

contain exactly 1 defect.

b. Using the Poisson probabilities table, find the probability that the number of defects in a given

500-yard piece of this fabric will be

i. 2 to 4 ii. more than 3 iii. Less than two