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A book of 500 pages contains 750 misprints. What is the probability that a certain page contains
no misprints? B. At least two misprints?
Ans. A) .223
B) .442
Need explanation with work!
Solution
n is the average missprints per page = 750/500 = 1.5
the poisson formula with mean n is
P[x] = e^-n * n^x / x!
P[0] = e^-n *n^0 / 0! = e^-n
P[0] = e-1.5 =0.223
atleast two missprints = 1- atmost one missprints = 1- ( P[0]+P[1] )
= 1 - (0.223 + e-1.5 * 1.51 / 1 ! )
= 0.4425

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A book of 500 pages contains 750 misprints. What is the probability .pdf

  • 1. A book of 500 pages contains 750 misprints. What is the probability that a certain page contains no misprints? B. At least two misprints? Ans. A) .223 B) .442 Need explanation with work! Solution n is the average missprints per page = 750/500 = 1.5 the poisson formula with mean n is P[x] = e^-n * n^x / x! P[0] = e^-n *n^0 / 0! = e^-n P[0] = e-1.5 =0.223 atleast two missprints = 1- atmost one missprints = 1- ( P[0]+P[1] ) = 1 - (0.223 + e-1.5 * 1.51 / 1 ! ) = 0.4425