Chapter 8.5, Problem 32E

To determine

To explain why integration gives better estimate for the probability.

Explanation of Solution

Given information: Probability density curve

Calculation :

Since normal distribution is the limiting case of binomial distribution.

For infinite number of random variables, integral gives better estimates as the probability of the variables can be estimated by means of area under the curve but in case of discrete variables, it is the summation of the probabilities along the variables.