Suppose 300 misprints are randomly distributed throughout a book of 50

1.	Suppose 300 misprints are randomly distributed throughout a book of 500 pages, find the probability that a given page contains exactly 4 misprints.
Answer» Given that, Misprints = 300 Pages of book = 500 We need to CALCULATE the value of λ Using formula of λ $\lambda=\dfrac{number\ of\ misprints}{number\ of\ pages}$ Put the value into the formula $\lambda=\dfrac{300}{500}$ $\lambda=0.6$ We need to calculate the probability Using formula of probability $P(x)=\dfrac{e^{-\lambda}\times(\lambda)^{x}}{x!}$ For x=4, Put the value of x $P(4)=\dfrac{e^{-0.6}\times(0.6)^{4}}{4!}$ $P(4)=0.0029$ Hence, The probability is 0.0029.