Question: Question asked by toutor Dr. Daniel Perley (Please post your answer with R command lines used) Suppose that you have a spinner that you can

Question asked by toutor Dr. Daniel Perley

(Please post your answer with R command lines used)

Suppose that you have a spinner that you can spin.When it stops spinning, it comes to rest, pointing in some direction.You measure the position of the spinner as an angle in degrees (between 0 and 360).

a) If the spinner were completely fair (equally likely to land on any angle value between 0 and 360), what type of distribution describes the PDF of spinner angles?(Give the distribution name.)

b) Suppose you spin the spinner five times.You measure angles of:96.6, 193.9, 253.8, 219.3, and 235.5.You notice that all five measurements are between 96.6 and 253.8 (inclusive).Assuming that the spinner is fair, calculate the probability that five completely random spins would land between these two specific values.

c)Can you rule out the hypothesis that the spinner is fair, given the probability value you have calculated?Explain your reasoning in no more than three sentences.

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