A.) A manufacturer knows that their items have a normallydistributed lifespan, with a mean of 6.9 years, and standarddeviation of 1 years. If you randomly purchase one item, what isthe probability it will last longer than 9 years?

B.) A particular fruit's weights are normally distributed, witha mean of 784 grams and a standard deviation of 24 grams. If youpick one fruit at random, what is the probability that it willweigh between 845 grams and 859 grams.

C.) A particular fruit's weights are normally distributed, witha mean of 615 grams and a standard deviation of 11 grams. Theheaviest 19% of fruits weigh more than how many grams?
Give your answer to the nearest gram.

D.) A distribution of values is normal with a mean of 228.7 anda standard deviation of 33.7. Find P₈₅, whichis the score separating the bottom 85% from the top 15%.
P₈₅ =

Enter your answer as a number accurate to 1 decimal place.Answers obtained using exact z-scores or z-scoresrounded to 3 decimal places are accepted.

E.) The combined SAT scores for the students at a local highschool are normally distributed with a mean of 1470 and a standarddeviation of 303. The local college includes a minimum score of2137 in its admission requirements.
What percentage of students from this school earn scores thatsatisfy the admission requirement?
P(X > 2137) = %
Enter your answer as a percent accurate to 1 decimal place (do notenter the \"%\" sign). Answers obtained using exact z-scoresor z-scores rounded to 3 decimal places are accepted.