1. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.6 years, and standard deviation of 1.1 years.
If you randomly purchase 8 items, what is the probability that their mean life will be longer than 3 years?

2. A particular fruit's weights are normally distributed, with a mean of 440 grams and a standard deviation of 39 grams.
If you pick 9 fruit at random, what is the probability that their mean weight will be between 411 grams and 432 grams

3. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 9.3 years, and standard deviation of 2.7 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.