Question Details

1. A particular fruit's weights are normally distributed, with a mean of 383 grams and a standard deviation of 24 grams.

If you pick 15 fruit at random, what is the probability that their mean weight will be between 362 grams and 394 grams

2. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.1 years, and standard deviation of 1 years.

If 3 items are picked at random, 3% of the time their mean life will be less than how many years?

Give your answer to one decimal place.