Exercises on General and Binomial Distributions

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1. Which of the following variables are discrete? Note: More than one answer may apply.

The weight of a randomly selected pumpkin.
The number of dogs in a dog show.
The cost of a new car.
The number of animals in the zoo.


2. Which of the following experiments are binomial? More than one may apply.

Asking 10 people who they voted for in 2000 presidential election.
Tossing a biased coin 1000 times.
Asking 20 women what about their favorite color lipstick.
Surveying 50 people and asking them if they have car insurance.
Surveying 90 people and asking them if they recognize the Taco Bell dog.


3. According to USA Today (9/11/00), 40% of Americans choose an airline due to convenience. In a group of 12 people, what is the mean number of people who select an airline due to convenience?

The mean is 4.8 people.
The mean is 7.2 people.
The mean is 4.0 people.
The mean is 6.0 people.


4. According to USA Today (9/11/00), 40% of Americans choose an airline due to convenience. In a group of 12 people, what is the standard deviation of the number of people who select an airline due to convenience?

The standard deviation is 1.7 people.
The standard deviation is 2.9 people.
The standard deviation is 2.8 people.
The standard deviation is 3.6 people.


5. According to USA Today (9/11/00), 40% of Americans choose an airline due to convenience. In a random sample of 10 people, what is the probability that at least 7 people chose an airline due to convenience?

P(at least 7) = 0.400.
P(at least 7) = 0.042.
P(at least 7) = 0.055.
P(at least 7) = 0.013.


6.According to the National Center for Health Statistics, 33.3% of all adults are overweight. In a group of 30 adults, what is the mean number of overweight people.

The mean is 3.0 people.
The mean is 20 people.
The mean is 7 people.
The mean is 10 people.


7. List the four requirements necessary to be a binomial experiment.