6.5 Consider the population described by the probability dis- tribution shown below. The random variable x is observed twice with independent observations. X p(x) Sample 0,0 0,1 0,2 0,3 1,0 1,1 1,2 1,3 0 .3 Probability .09 .06 .09 .06 1 .2 .06 .04 .06 .04 2 .3 Sample 2,0 2,1 2,2 2,3 3,0 3,1 3,2 3,3 3 .2 Probability .09 .06 .09 .06 .06 .04 .06 .04

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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Solve 6.6

6.5 Consider the population described by the probability dis-
tribution shown below. The random variable x is observed
twice with independent
observations.
X
p(x)
Sample
0,0
0,1
0,2
0,3
1,0
1,1
1,2
1,3
0
.3
Probability
.09
.06
.09
.06
.06
.04
1
.2
.06
.04
2
.3
Sample
2,0
2,1
2,2
2,3
3,0
3,1
3,2
3,3
3
.2
Probability
.09
.06
.09
.06
.06
.04
.06
.04
Transcribed Image Text:6.5 Consider the population described by the probability dis- tribution shown below. The random variable x is observed twice with independent observations. X p(x) Sample 0,0 0,1 0,2 0,3 1,0 1,1 1,2 1,3 0 .3 Probability .09 .06 .09 .06 .06 .04 1 .2 .06 .04 2 .3 Sample 2,0 2,1 2,2 2,3 3,0 3,1 3,2 3,3 3 .2 Probability .09 .06 .09 .06 .06 .04 .06 .04
6.6 Refer to Exercise 6.5 and find E(x) = μ. Then use the
sampling distribution of x found in Exercise 6.5 to find the
expected value of x. Note that E(x) = μ.
6.7 Refer to Exercise 6.5. Assume that a random sample of n = 2
measurements is randomly selected from the population
Transcribed Image Text:6.6 Refer to Exercise 6.5 and find E(x) = μ. Then use the sampling distribution of x found in Exercise 6.5 to find the expected value of x. Note that E(x) = μ. 6.7 Refer to Exercise 6.5. Assume that a random sample of n = 2 measurements is randomly selected from the population
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,