EXAMPLE 44The normal approximation to the binomial distribution
The Centers for Disease Control and Prevention reported that 20% of preschool chil dren lack required immunizations, thereby putting themselves and their classmates at risk. For a group of children with , the binomial probability distribution is shown in Figure 72.
Solution
Thus, the normal approximation is valid.
The mean and standard deviation of the normal distribution are
NOW YOU CAN DO
Exercises 3–8.