1) (3 pts) Match each picture to its probability statement. a) i) P(x <6.5) A b) ii) P(x > 7) c) iii) P(4.5

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1 3 Pts Match Each Picture To Its Probability Statement A I P X 6 5 A B Ii P X 7 C Iii P 4 5 X 6 1 2 1 (48.82 KiB) Viewed 24 times

1) (3 pts) Match each picture to its probability statement. a) i) P(x <6.5) A b) ii) P(x > 7) c) iii) P(4.5 <x<6) 1 2) (5 pts) Suppose in the picture at right, the area shown is 0.4088. Use this information to find the probabilities shown below. You will not use normalcdf on your calculator - instead, you'll use the symmetry of the curve. A a) P(5<x<6) b) P(x<5) c) P(x >7) d) P(x < 7)

Reminder: for all problems, we are using the birch tree scenario, where u = 6 and o = 0.75. 3) (6 pts) Use the same scenario as above with the birch trees (mean is 6 meters and standard deviation 0.75 meters). Find the following probabilities. Write down what you entered into your calculator. a) P(X<5.5) b) P(7 < X <8) c) P(X > 4) 4) (3 pts) Find the value of k such that P(X <k) = 0.75. You will use INVNORM. Write down what you entered into your calculator. 5) (3 pts) Suppose trees in the lowest 5th percentile are in danger of not surviving the winter. What is the height at which a tree will no longer be in danger of not surviving the winter? Write down what you entered into your calculator. 6) (4 pts) Suppose the government allows trees in the top 15% in height to be logged (cut down). What is the minimum height that a logger is allowed to cut down? Write down what you entered into your calculator.