Math511Exam2Solutions

Examples bbbrrb 6 draws rb 2 draws rrrb 4 draws

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Unformatted text preview: erage of 1 misprint every 400 characters. Page ten of the booklet contains 2000 characters. Let X denote the number of misprints on page ten. You may assume that the distribution of the misprints is a Poisson distribution. (a). P( X = 4 ) = (Answer should be exact and in terms of e.) Solution: We have λ = 5 , and so P ( X = 4) = e −5 54 24 (b). P( X ≥ 3 | X ≤ 6 ) = (Approximate using tables.) Solution: P ( 3 ≤ X ≤ 6 ) P ( X ≤ 6 ) − P ( X ≤ 2 ) 0.762 − 0.125 P( X ≥ 3 | X ≤ 6) = = = P ( X ≤ 6) P ( X ≤ 6) 0.762 Name ________________________ March 7, 2013 5. (a). A box contains two red cards and 4 blue cards. Cards are randomly drawn one at a time with replacement until a red car...
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