Question

A book publisher determines that the probability of at least one misprint on any given page is .005 in a book containing 600 pages.

What random variable computes the probability there are misprints in the 600 page book?

Answer 1

The random variable X in this scenario refers to the number of pages in the 600-page book that have misprints. The binomial distribution can be used to calculate the probabilities of different numbers of misprints.

Step-by-step explanation:

The random variable X in this scenario refers to the number of pages in the 600-page book that have misprints. Since the probability of at least one misprint on any given page is 0.005, we can use the binomial distribution to calculate the probability of different numbers of misprints.

Let's use the binomial probability formula to calculate the probability of having zero misprints, one misprint, two misprints, and so on, up to 600 misprints. For example, to calculate the probability of having two misprints, we use the formula P(X = 2) = (0.005)^2 * (1-0.005)^{600-2} * C(600, 2), where C(600, 2) is the combination of choosing 2 misprints from 600 pages.