Let X be the number of packages being mailed by a randomly selected customer at a shipping facility. Suppose the distribution of X is as follows: х 1 P(r) 0.4 2 3 4 p(x) 0.4 0.3 0.2 0.1 a) b) Again consider a random sample of size n = 2, but not focus on the statistic R the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R. If a random sample of size n = 4 is selected, what is Pr(X ≤ 1.5)? [Hint: you should not have to list all possible outcomes, only those for which 1.5.]

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let X be the number of packages being mailed by a randomly selected
customer at a shipping facility. Suppose the distribution of X is as
follows:
х
1
P(r) 0.4
2 3 4
p(x) 0.4 0.3 0.2 0.1
a)
b)
Again consider a random sample of size n = 2, but not focus on
the statistic R the sample range (difference between the largest
and smallest values in the sample). Obtain the distribution of R.
If a random sample of size n = 4 is selected, what is Pr(X ≤ 1.5)?
[Hint: you should not have to list all possible outcomes, only those
for which 1.5.]
Transcribed Image Text:Let X be the number of packages being mailed by a randomly selected customer at a shipping facility. Suppose the distribution of X is as follows: х 1 P(r) 0.4 2 3 4 p(x) 0.4 0.3 0.2 0.1 a) b) Again consider a random sample of size n = 2, but not focus on the statistic R the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R. If a random sample of size n = 4 is selected, what is Pr(X ≤ 1.5)? [Hint: you should not have to list all possible outcomes, only those for which 1.5.]
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