Question

A) A particular fruit's weights are normally distributed, with a mean of 218 grams and a standard deviation of 5 grams.

If you pick 20 fruit at random, what is the probability that their mean weight will be between 215 grams and 215 grams

B) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.3 years, and standard deviation of 1.1 years.

If 25 items are picked at random, 2% of the time their mean life will be less than how many years?

Give your answer to one decimal place.

c) A particular fruit's weights are normally distributed, with a mean of 216 grams and a standard deviation of 19 grams.

If you pick 6 fruits at random, then 8% of the time, their mean weight will be greater than how many grams?

d)On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 331 pounds and a standard deviation of 34 pounds. The cow transport truck holds 9 cows and can hold a maximum weight of 3213. If 9 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 3213? (This is the same as asking what is the probability that their mean weight is over 357.)

(Give answer correct to at least three decimal places.)

Give your answer to the nearest gram.

Answer 1