Discrete Review Discrete Review GameGame

About 25% of those called for jury duty will find an excuse (work, poor health, travel, etc.) to avoid jury duty. If 12 people are called, what is the probability that less than 6 will not be available to serve?

P(X < 6) = .9456P(X < 6) = .9456Binomial

A survey of families in Statsylvania found that 12% of the households had no motor vehicles, 36% had one vehicle, 33% had two vehicles, 18% had three vehicles, and 1% had four vehicles. Find the mean and standard deviation for this distribution.= 1.6 &= 1.6 & = .95= .95Generic

The EPA reports that 81% of Americans do not recycle garbage. If 6 Americans are randomly selected, find the probability that at least two of them recycle.

P(X P(X > > 2) = .32012) = .3201Binomial

One airline has found that 9% of the people who make reservations do not show. If the airline has accepted 220 reservations for a plane that has 210 seats, what is the probability that there are enough seats for all the passengers who show up?

P(X P(X < < 210) 210) = .9959= .9959

Binomial

An experiment consists of tossing a coin 10 times. What is the probability that the first head will occur on the fourth toss?

P(X = 4) P(X = 4) = .0625= .0625

Geometric

According to the US Census Bureau, about 22% of American children under the age of 6 live in households with incomes below the official poverty level. A random sample of 400 children under the age of 6 is taken. What are the mean and standard deviation of children in the sample who come from households with incomes below the official poverty level? = 88 &= 88 & = =

8.288.28

Binomial

The probability that a student is tardy to Statistics class is 0.012. (They just can’t wait to come to class!) How many students should Mrs. Goins expect to see before the first one is tardy?

= 83.33= 83.33Geometric

Official records in a particular city show that the average number of days schools close in a school year due to flooding is 1.5 days. What is the probability that there will be 6 days schools are closed due to flooding in the next three years?P(X = 6) P(X = 6)

= .1281= .1281Poisson