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Suppose a fair coin is tossed 10 times and the response X measured is the number of times we…

Suppose a fair coin is tossed 10 times and the response X measured is the number of times we observe a head.

 (a) If you use the expected value of the response as a predictor, then what is the prediction of a future response X?

 (b) Using Table D.6 (or a statistical package), compute a shortest interval containing at least 0.95 of the probability for X Note that it might help to plot the probability function of X first.

(c) What region would you use to assess whether or not a value s0 is a possible future value?  Assess whether or not x =8 is plausible.