The U.S. Census Bureau reports that on average Americans consume 99.9 pounds of fresh fruit per year, with a standard deviation of 30 pounds. A random sample of 38 people were asked to track their fresh fruit consumption over one year. The probabilities of various scenarios regarding the sample's average consumption were calculated.

1. The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the
average annual consumption of fresh fruit per person is 99.9 pounds. The standard deviation of
fresh fruit consumption is about 30 pounds. Suppose an analyst took a random sample of 38
people and had them keep a record of the fresh fruit they ate for one year. Appendix A Statistical
Tables (Round all z values to 2 decimal places, e.g. 0.75. Round your answers to 4 decimal
places, e.g. 0.7585.) a. What is the probability that the sample average would be less than 90
pounds? p= b. What is the probability that the sample average would be between 98 and 105
pounds? p= c. What is the probability that the sample average would be less than 112 pounds? p=
d. What is the probability that the sample average would be between 93 and 96 pounds? p=