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Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. X P(x) 3,3 3,4 3,5 3,6 4,3 4,4 4,5 4,6 Full data set 0.06 0.09 0.09 0.06 0.06 0.06 3 0.3 4 0.3 5 0.2 6 0.2 Sample Probability 0.09 0.09 Sample 5,3 5,4 5,5 5,6 6,3 6,4 6,5 6,6 Probability 0.06 0.06 0.04 0.04 0.06 0.06 0.04 0.04 a. Complete the sampling distribution table. Type the x values in ascending order. 3.5 4 X Probability 0.09 (Type exact answers in simplified form.) 0.24 0.16 5.5 6

Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. X P(x) 3,3 3,4 3,5 3,6 4,3 4,4 4,5 4,6 Full data set 0.06 0.09 0.09 0.06 0.06 0.06 3 0.3 4 0.3 5 0.2 6 0.2 Sample Probability 0.09 0.09 Sample 5,3 5,4 5,5 5,6 6,3 6,4 6,5 6,6 Probability 0.06 0.06 0.04 0.04 0.06 0.06 0.04 0.04 a. Complete the sampling distribution table. Type the x values in ascending order. 3.5 4 X Probability 0.09 (Type exact answers in simplified form.) 0.24 0.16 5.5 6

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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Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. 3,3 3,4 3,5 3,6 4,3 4,4 4,5 4,6 Full data set 0.09 0.06 0.06 0.09 0.09 0.06 0.06 X p(x) <3 4 5 6 0.3 0.3 0.2 0.2 Sample Probability 0.09 Sample 5,3 5,4 5,5 5,6 6,3 6,4 6,5 6,6 Probability 0.06 0.06 0.04 0.04 0.06 0.06 0.04 0.04 a. Complete the sampling distribution table. Type the x values in ascending order. 3.5 4 X Probability 0.09 (Type exact answers in simplified form.) 0.24 0.16 5.5 6
Transcribed Image Text:Consider the population described by the probability distribution shown below. The random variable is observed twice with independent observations. 3,3 3,4 3,5 3,6 4,3 4,4 4,5 4,6 Full data set 0.09 0.06 0.06 0.09 0.09 0.06 0.06 X p(x) <3 4 5 6 0.3 0.3 0.2 0.2 Sample Probability 0.09 Sample 5,3 5,4 5,5 5,6 6,3 6,4 6,5 6,6 Probability 0.06 0.06 0.04 0.04 0.06 0.06 0.04 0.04 a. Complete the sampling distribution table. Type the x values in ascending order. 3.5 4 X Probability 0.09 (Type exact answers in simplified form.) 0.24 0.16 5.5 6
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O A. 0.3- `p (x) р 3 6 Q ↑P(x) 0.3- 0+ 3 6 0.3 P(x) Yes, because the probability is not small. No, because the probability is small. 3 0.2- c. What is the probability that x is 4.5 or larger? The probability that the sample mean is 4.5 or larger is 0.52. (Type an exact answer in simplified form.) d. Would you expect to observe a value of x equal to 4.5 or larger? Explain. p(x) 3
Transcribed Image Text:O A. 0.3- `p (x) р 3 6 Q ↑P(x) 0.3- 0+ 3 6 0.3 P(x) Yes, because the probability is not small. No, because the probability is small. 3 0.2- c. What is the probability that x is 4.5 or larger? The probability that the sample mean is 4.5 or larger is 0.52. (Type an exact answer in simplified form.) d. Would you expect to observe a value of x equal to 4.5 or larger? Explain. p(x) 3
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b. Construct a probability histogram for the sampling distribution of X. Choose the correct probability histogram below. A. B. 0.3 P(x) 3 6 17 0.3- p(x) ott 3 C. 0.3- p(x) -3 6 D. 0.2- `p (x) 0+ 3
Transcribed Image Text:b. Construct a probability histogram for the sampling distribution of X. Choose the correct probability histogram below. A. B. 0.3 P(x) 3 6 17 0.3- p(x) ott 3 C. 0.3- p(x) -3 6 D. 0.2- `p (x) 0+ 3
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