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 set0.090.060.060.090.09 0.06 0.06X p(x)<3 4 5 60.30.30.20.2SampleProbability 0.09Sample 5,3 5,4 5,5 5,6 6,3 6,4 6,5 6,6Probability 0.06 0.06 0.04 0.04 0.06 0.06 0.04 0.04a. Complete the sampling distribution table. Type the x values in ascending order.3.54XProbability 0.09(Type exact answers in simplified form.)0.24 0.165.56

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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)

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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Question

100%

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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Follow-up Questions

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Follow-up Question

Please do d)

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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Follow-up Question

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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