First slide

Random variable and probability distribution

Question

Suppose there are 500 misprints in a book of 750 pages. Assuming that the number of misprints per page is a poisson random variate. The probability that a page selected at random has more than one mis print is

Easy

A

$e^{\frac{- 2}{3}}$
B

$\frac{5}{3} e^{\frac{- 2}{3}}$
C

$1 - e^{\frac{- 2}{3}}$
D

$1 - \frac{5}{3} e^{\frac{- 2}{3}}$

Solution

$λ = \frac{500}{750} = \frac{2}{3}$
$P (X > 1) = 1 - P (X = 0) = 1 - e^{\frac{- 2}{3}}$

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