Please help me answer these few questions Alexis Warthen 9 0 1 2 3 4 5 6 7 8 9 1

Question

Please help me answer these few questions

Alexis Warthen 9 0 1 2 3 4 5 6 7 8 9 10 Find the probability that x falls in the shaded area. Round your answer to four decimal places. Question 11 A distribution is given as X ~(0,12). What is the theoretical mean? State your answer as an integer o / 1 point o/ 1 point Question 12 A distribution is given as X ~ U(0,12). What is the theoretical standard deviation? State your answer rounded to four decimal places 0/ 1 point Question 13 A distribution is given as XU(0,12) Find P(x>9). Round your answer to two decimal places. 0 /1 point Question 14 A distribution is given as X U(0, 12). Find P(2 exc4). Round your answer to four decimal places. 0/1 point

Explanation / Answer

10) P(x falls in shaded region) = (8 - 6) / 9 = 0.2222

11) Theoretical mean = (12 + 0) / 2 = 6

12) Standard deviation = (12 - 0) / 12 = 1

13) P(X > 9) = (12 - 9) / (12 - 0) = 0.25

14) P(2 < X < 4) = (4 - 2) / (12 - 0) = 0.3333

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