# Finding a probability given Binomial and Poisson distributions

1.The Census Bureau reports that 55% of all 3-to-5-year-old children attended preschool programs at least a portion of the day. If 18 children are chosen at random, what is the probability that fewer than six children attend such a program?

2. Experimenters in ecology found that the average density of zooplankton in a pond where predators had been introduced was 4.60 individuals per centiliter. Assume a Poisson distribution applies. What is the probability that a centiliter of fluid from the pond contains no individuals?

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#### Solution Preview

Refer to attached.

1.The Census Bureau reports that 55% of all 3-to-5-year-old children attended preschool programs at least a portion of the day. If 18 children are chosen at random, what is the probability that fewer than six children attend such a program?

This is a binomial distribution, as there are 2 possible outcomes - attending program ...

#### Solution Summary

The problem below outlines the process of finding the probability of an event given a particular distribution (Binomial and Poisson)