a manufacturer of snack crackers introduces several new products each year. about 60% of the introductions are failures, 30% are moderate successes, and 10% are major successes. to try to improve the odds, the manufacturer tests new products in a customer tasting panel. of the failures, 50% receive a poor rating in the panel, 30% a fair rating, and 20% a good rating. for the moderate successes, 20% receive a poor rating, 40% receive a fair rating, and 40% receive a good rating. for major successes, the percentages are 10% poor, 30% fair, and 60% good. find the probability that a new product receives a good rating. round your answer to three decimal places.