An experiment with three outcomes has been repeated 50 times, and it was learned that E 1 E1 occurred 20 times, E 2 E2 occurred 13 times, and E 3 E3 occurred 17 times. Assign probabilities to the outcomes. What method did you use

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The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)