1.About _________% of the area under the curve of the standard normal distribution is between z=2.723z=-2.723 and z=2.723z=2.723 (or within 2.723 standard deviations of the mean). Round your percent to two decimal places and do not include the % sign in the answer box.

2. Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points between z=1.6z=-1.6 and z=1.6z=1.6 standard deviations of the mean (or within 1.6 standard deviations of the mean). What percent of the data points will fall in that range? Answer: ________% Round your percent to two decimal places and do not include the % sign in the answer box.

3. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 4.7 years, and standard deviation of 1.1 years. If you randomly purchase one item, what is the probability it will last longer than 2 years? ___________ Round your answer to at least 3 decimal places.

4. A particular fruit's weights are normally distributed, with a mean of 800 grams and a standard deviation of 22 grams. If you pick one fruit at random, what is the probability that it will weigh between 744 grams and 826 grams? _____________ Round answer to at least 3 decimal places.

5. A particular fruit's weights are normally distributed, with a mean of 283 grams and a standard deviation of 35 grams. The heaviest 18% of fruits weigh more than how many grams? ______________ Give your answer to the nearest 0.1 gram.