Question

There are 50 misprints in a book which has 250 pages.
a) What is the averages of misprints in one page?
b) Find the probability that randomly selected page has no misprints?
c) What is the probability that in randomly selected page there is at least one misprint?

Answer 1

Answer on Question #70970 – Math – Statistics and Probability

Question

There are 50 misprints in a book which has 250 pages.

a) What is the averages of misprints in one page?

b) Find the probability that randomly selected page has no misprints?

c) What is the probability that in randomly selected page there is at least one misprint?

Solution

a) $\mu = \frac{50}{250} = 0.2$.

b) Poisson probability with $\mu = 0.2$:

$$P(X = 0) = e^{-0.2 \frac{0.2^0}{0!}} = 0.8187.$$

c) $P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8187 = 0.1813$.

Answer: a) 0.2; b) 0.8187; c) 0.1813.

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