Math 1442 Statistics Test 4 (Chapters 6 & 7) 1. Use the table of normal probabilities (Z-table) to find the following p-values: a. P(Z 2 1.35) b. P(Z s .87) c. P(-1.25 s Z S .83) 2. The weights of large mouth bass in Lake Woody are normally distributed with a mean of 5.1 pounds and a standard deviation of 0.7 pounds. You catch one bass from this lake. What is the probability that it weighs: a. More than 5.9 pounds P(X 2 5.9) b. Less than 6 pounds P(X $ 6) c. Between 4 and 6 pounds (4 s X 56) 3. You plan on charging people $50 to fish in Lake Woody (above). You offer a $200 prize to anyone whose first bass they catch is at least a certain weight. If you are willing to give the prize to no more than 5% of the people, what is the minimum weight that you should set? (round your answer to the nearest tenth of a pound and assume that everyone who fishes catches at least one bass). 4. One person has an awesome fishing day and catches 20 bass. What is the probability that their mean weight is more than 5.3 pounds