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?

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)

... Answer the following questions using the binomial distribution. ... selected consumers, find the probability that exactly ...Find the number of correct answers that ...

... After finding the mean number of calls per hour, find the probability... The solution gives step by procedure for computing probability from Binomial and ...

... A newspaper finds that the mean number of typographical erors per page is 4. Find the probability... three typographical errors will be found on a ...

... at a time, with a disease germ until he finds 2 that ... Therefore, finding fewer than 7 mice in 2 out of 3 ...Find the probability that fewer than 5 of the next 2000 ...

... e) Is this unusual to find that among 863 patients ... the drug is 0.019, the probability of finding 19 experiencing ... Data Sample size 863 Probability of an event of ...

... a Poisson distribution with mean = 4. Find P(X = 3 ... by showing all x values and their associated probabilities. ... cumulative XP(X) probability 0 0.04000 0.04000 1 ...

... a newspaper is 3. What is the probability that more than 2 typographical errors will be found on a ... distributed are 20 and 5 respectively, find an interval ...

... 5.35 A financial analyst states that the (subjective probability) price of Y ... and from standard normal σ 40 tables, we can find the probabilities as follows ...

... that at least one wing crack is detected using poisson distribution? if 5 planes inspected find probability Pr(X>=1) based on binomial distribution. Q2). ...

...Find the probability that the toll collector will ... X is given by, , a) The probability that the ... contains the determination of various probabilities using Gamma ...