The answer to Normal Probability Distributions
1. How many ways can 15 girls be chosen to form a baseball team of 9 players?
5005
24
1,816,214,400
135

2. Which of the following cannot be a probability?
0
-49
0.001
14%

Type: ES

3. List the sample space of rolling a 6 sided die.
{1, 3, 5}
{1, 2, 4, 6}
{1, 2, 3, 4, 5, 6}
{2, 3, 4, 5, 6}

4. What is the probability of choosing a face card (jack, queen, or king) on the second draw if the first draw was a king (without replacement)?
0.231
0.784
0.216
0.769

5. A health class has 23 women and 18 men. If a student is chosen randomly to be the team leader, what is the probability the student is a woman?
0.439
0.561
0.23
0.77

6. Compute the following: 5! ÷ 0!
1
5
120
60

7. (TCO 5) Decide whether the experiment is a binomial, Poisson, or neither based on the information given. Each week a man plays a game in which he has a 21% chance of winning. The random variable is the number of times he wins in 64 weeks.
binomial
Poisson
neither

8. Given a Poisson distribution with mean = 4. Find P(X > 3).
0.195
0.238
0.433
0.567

9. Given the random variable X = {4, 5} with P(4) = 0.4 and P(5) = 0.6. Find E(X).
1.6
4.6
2.4
3.0

10. If X = {10, 20, 30, 40} and P(10) = 0.30, P(20) = 0.30, P(30) = 0.30, and P(40) = 0.30, can distribution of the random variable X be considered a probability distribution? (Points : 3)
yes
no

11. If X = {1, 2, 3, 4, 5, 6} and P(1) = 0.3, P(2) = 0.2, P(3) = 0.1, P(4) = 0.1, P(5) = 0.1, and P(6) = 0.3, can distribution of the random variable X be considered a probability distribution?
yes
no

12. How many circles of Cheerios in a cereal box represents what kind of distribution?
discrete
continuous

13. The number of brothers and sisters in your family represents what kind of distribution?
discrete
continuous

14. The number of doctors in a hospital represents what kind of distribution?
discrete
continuous