The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted

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The outcomes of two variables are (Low, Medium, High) and (On, Off), respectively. An experiment is conducted in which the outcomes of each of the two variables are observed. The probabilities associated with each of the six possible outcome pairs are given in the accompanying two-way table. Low Medium High On .50 .10 .05 Off .25 .07 .03 Consider the following events: A: 5On6 B: 5Medium or On6 C: 5Off and Low6 D: 5High6

a. Find P1A2.

b. Find P1B2.

c. Find P1C2.

d. Find P1D2.

e. Find P1Ac 2.

f. Find P1A ∪ B2. g. Find P1A ¨ C2. h. Consider each pair of events (A and B, A and C, A and D, B and C, B and D, C and D). List the pairs of events that are mutually exclusive. Justify your choices.

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