Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. P(X) e. Construct a histogram for the probability distribution in the space below.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 35E: Unemployment In 2015, there were approximately 8.3 million unemployed workers in the United States....
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Do number 1, sub parts D and E
Name:
Date:
Discrete Probability Distributions Worksheet
1. You flip four coins. Let X, the random variable, be the number of heads on all four coins.
a. List the sample space for the experiment.
b. What are the possible values for x?
c. Is the random variable, x, continuous or discrete?
d. Construct a probability distribution for this experiment.
P(X)
e. Construct a histogram for the probability distribution in the space below.
2. Determine if the following are probability distributions (if no, state why).
а. х з 6
P(X)
9 12
15
4/9 2/9 1/9
1/9
1/9
1
P(X)
b. X
2
3
4
3/10 1/10 1/10 2/10 3/10
c. X
P(X)
20
30
40
50
1.1
0.2
0.9
0.3
Name:
3. Construct a probability distribution for the data and draw a histogram for the following:
a. A die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6,
1/12, 1/12, 1/12, and 1/12 respectively.
P(X)
b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill.
P(X)
Transcribed Image Text:Name: Date: Discrete Probability Distributions Worksheet 1. You flip four coins. Let X, the random variable, be the number of heads on all four coins. a. List the sample space for the experiment. b. What are the possible values for x? c. Is the random variable, x, continuous or discrete? d. Construct a probability distribution for this experiment. P(X) e. Construct a histogram for the probability distribution in the space below. 2. Determine if the following are probability distributions (if no, state why). а. х з 6 P(X) 9 12 15 4/9 2/9 1/9 1/9 1/9 1 P(X) b. X 2 3 4 3/10 1/10 1/10 2/10 3/10 c. X P(X) 20 30 40 50 1.1 0.2 0.9 0.3 Name: 3. Construct a probability distribution for the data and draw a histogram for the following: a. A die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6, 1/12, 1/12, 1/12, and 1/12 respectively. P(X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. P(X)
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