Download Review Sheet for Unit 7

Review Sheet for Unit 7 Quiz
Gathering Data and Probability
Vocabulary
Population
Sample
Experiment
Observational Study
Response Variable
Explanatory Variable
Name ______________________________
Simple Random
Sample
Discrete Variable
Continuous Variable
Probability
Distribution
Binomial Distribution
Distribution Table
Empirical Rule
Parameter
Statistic
1. We toss a coin 5 times. If we want tails, what is the probability of having:
a. 2 tails?
b. 5 tails?
c. At least 3 tails?
d. No more than 2 tails?
2. Given:
x
P(x)
1
.10
2
.45
3
.20
4
.25
a. Show that the two conditions for a valid probability distribution are met.
b. Find the mean for this probability distribution.
c. What is the standard deviation for this probability distribution?
d. Sketch a probability histogram.
3. What is the difference between a statistic and a parameter?
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4. List the four characteristics of a binomial experiment.
5. The probability that you will win a game is 0.23 for each play and plays of the
game are independent of each other. Let X = number of wins in three plays.
a. What is P(X = 2), the probability that you win exactly twice in three plays?
b. What is the probability that you win at least twice in three plays?
6. What is an explanatory variable?
7. What are treatments?
8. What is a response variable?
9. Let X = the number of girls in ten births, and assume that the probability is .488
that any birth is a girl. Find the probability of having 7 or fewer girls in 10 births.
10. Given:
k
P(X = k)
O
1
2
3
1/8
3/8
3/8
1/8
a. P(k  2)  ____?
b. P(k  2)  ____?
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