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Consider twenty independent random samples, used to compute twenty separate 90% confidence intervals for a parameter...

Consider twenty independent random samples, used to compute twenty separate 90% confidence intervals for a parameter θ

(a) How many intervals would you expect to contain the true value of θ?

(b) What is the probability that at least 16 of the intervals contain the true θ?

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Answer #1

a) expected number of interval that contain the true value of θ =np=20*0.9 =18

b)P(X>=16)= =0.9568

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