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Topic Test Chapter 4 - Discrete Probability Distribution

Total questions: 10

Worksheet time: 27mins

Name
Class
Date
1.

Classify: The numbers of cheeseburgers a fast-food restaurant serves each day

a)

Discrete

b)

Continuous

2.

Which one of the following is a discrete random variable?

a)

Sam's height

b)

Sam weight

c)

Time Sam's runs the 110 m hurdles

d)

Amount of Sam's brothers and sisters

3.

Classify: Height of a plant measured each day for 30 days.

a)

Discrete

b)

Continuous

4.

Is this a probability distribution?

a)

No

b)

Yes

5.

The table represents the probability of guessing correct on a 5 question true-false quiz. Find the mean and the standard deviation.

a)

μ = .4; σ = 7.5

b)

μ = 2.5; σ = 1.1

c)

μ = 3; σ = 1.3

d)

μ = .1; σ = 0

6.
a)
Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
b)
No, all probabilities are not be between 0 and 1 inclusive
c)
No, the sum of all the probabilities is not 1.
d)
Yes, because the distribution is symmetric
7.

Classify: The time it takes for a light bulb to burn out.

a)

Discrete

b)

Continuous

8.
A marketing survey compiled data on the number of cars in households.  If X = the number of cars in a randomly selected household, and we omit the rare cases of more than 5 cars, then X has the following probability distribution: 
X           0          1          2          3           4           5    
P(X)   0.24    0.37    0.20    0.11    0.05     0.03
What is the probability that a randomly chosen household has at least two cars?
a)
0.20
b)
0.29
c)
0.39
d)
0.61
9.

Which of the following is NOT a requirement of a discrete probability distribution?

a)

The sum of the values for the random variable x must add up to 1.

b)

There is a discrete numerical (not categorical) random variable x, and its number values are associated with corresponding probabilities.

c)

The sum of the probabilities must all add up to 1.

d)

Every individual probability must have a value between 0 and 1 inclusively.

10.

Eva flips a coin. If she gets heads, she wins $4. If she gets tails, she loses $3. What is her expected value of a coin flip?

a)

$1

b)

$0.50

c)

-$0.50

d)

$0