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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. (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. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X) 2. 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. (X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. (X) 4. Below is a probability distribution for the number of math failures of BC students. 0. .41 1. .38 3. .08 4. .02 a. P(X = 2) b. P(X < 2) c. P(X 2) d. P(X s 1) e. P(X > 2) f. P(X = 3 or X = 4)

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. (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. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X) 2. 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. (X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. (X) 4. Below is a probability distribution for the number of math failures of BC students. 0. .41 1. .38 3. .08 4. .02 a. P(X = 2) b. P(X < 2) c. P(X 2) d. P(X s 1) e. P(X > 2) f. P(X = 3 or X = 4)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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. (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. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
Transcribed Image Text: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. (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. X 6. P(X) 4/9 12 15 3. 6. 1 2 3 4 5 P(X) 3/10 1/10 1/10 2/10 3/10 20 30 40 50 1.1 0.2 0.9 0.3 (X)
2. 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. (X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. (X) 4. Below is a probability distribution for the number of math failures of BC students. 0. .41 1. .38 3. .08 4. .02 a. P(X = 2) b. P(X < 2) c. P(X 2) d. P(X s 1) e. P(X > 2) f. P(X = 3 or X = 4)
Transcribed Image Text:2. 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. (X) b. A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill. (X) 4. Below is a probability distribution for the number of math failures of BC students. 0. .41 1. .38 3. .08 4. .02 a. P(X = 2) b. P(X < 2) c. P(X 2) d. P(X s 1) e. P(X > 2) f. P(X = 3 or X = 4)
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