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(Problem 5.2.11 continued) Suppose we are told that the number of heads observed is an even…

(Problem 5.2.11 continued) Suppose we are told that the number of heads observed is an even number. Repeat parts (a), (b), and (c).

 

Problem 5.2.11 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