Question: 2.12 Compute the following probabilities: a. If Y is distributed t12, find Pr(Y 1.36). b. If Y is distributed t30, find Pr(-1.70 Y

2.12 Compute the following probabilities:

a. If Y is distributed t12, find Pr(Y … 1.36).

b. If Y is distributed t30, find Pr(-1.70 … Y … 1.70).

c. If Y is distributed N(0, 1), find Pr(-1.70 … Y … 1.70).

d. When do the critical values of the normal and the t distribution coincide?

e. If Y is distributed F4,11, find Pr(Y 7 3.36).

f. If Y is distributed F3,21, find Pr(Y 7 4.87).

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