A. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.9 years, and standard deviation of 0.9 years.If you randomly purchase one item, what is the probability it will last longer than 5 years?B. A particular fruit's weights are normally distributed, with a mean of 450 grams and a standard deviation of 35 grams.If you pick one fruit at random, what is the probability that it will weigh between 352 grams and 470 gramsC.A particular fruit's weights are normally distributed, with a mean of 560 grams and a standard deviation of 13 grams.The heaviest 9% of fruits weigh more than how many grams?Give your answer to the nearest gram.D. The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33 liters, and standard deviation of 2.8 liters. What is the probability that daily production is less than 34.7 liters?What is the probability that daily production is more than 28.3 liters?Warning: Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table.round to 4 decimal places.