AP STATS Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable represent the number of defect on a fat quarter created by Company F. The following table shows the probability distribution of

If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable represent the number of defects on a fat quarter that can be sold by Company F.

(a) Construct the probability distribution (table) of the random variable

(b) Determine the mean and standard deviation of

Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0.40 and 0.66, respectively. The fat quarters sell for $5.00 each, but are discounted by $1.50 for each defect found.

(c) What are the mean and standard deviation of the selling price for the fat quarters sold by Company G?