A book of 500 pages contains 750 misprints What is the proba

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

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 N

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