Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. 1 2 3 4 p(x) 0.2 0.3 0.4 0.1 (a) Consider a random sample of size n = (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X. 1 1.5 2 2.5 3 3.5 4 P(x).04 .12 25 28 .22 .08 .01 (b) Refer to part (a) and calculate P(X s 2.5). .69 (c) Again consider a random sample of size n = 2, but now focus on the statistic R = the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R. [Hint: Calculate the value for each outcome and use the probabilities from part (a).] 1 2 3 P(R).3 44 .22 .04 (d) If a random sample of size n = 4 is selected, what is P(X s 1.5)? [Hint: You should not have to list all possible outcomes, only those for which x s 1.5.] .7928
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. 1 2 3 4 p(x) 0.2 0.3 0.4 0.1 (a) Consider a random sample of size n = (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X. 1 1.5 2 2.5 3 3.5 4 P(x).04 .12 25 28 .22 .08 .01 (b) Refer to part (a) and calculate P(X s 2.5). .69 (c) Again consider a random sample of size n = 2, but now focus on the statistic R = the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R. [Hint: Calculate the value for each outcome and use the probabilities from part (a).] 1 2 3 P(R).3 44 .22 .04 (d) If a random sample of size n = 4 is selected, what is P(X s 1.5)? [Hint: You should not have to list all possible outcomes, only those for which x s 1.5.] .7928
MATLAB: An Introduction with Applications
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I'm not sure why I have the last section incorrect.
![Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows.
1
2
4
p(x) | 0.2
0.3 0.4
0.1
(a) Consider a random sample of size n =
2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X.
1
1.5
2
2.5
3
3.5
4
P(x) ||.04
12
.25
.28
.22
.08
.01
(b) Refer to part (a) and calculate P(X < 2.5).
.69
(c) Again consider a random sample of size n =
for each outcome and use the probabilities from part (a).]
2, but now focus on the statistic R
the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R. [Hint: Calculate the value of R
R
1
2
P(R)
.3
.44
.22
.04
(d) If a random sample of size n = 4 is selected, what is P(X < 1.5)? [Hint: You should not have to list all possible outcomes, only those for which x < 1.5.]
.7928](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb05998c5-9aa7-4463-a9df-7f7abe049b9d%2F28e8d8c1-e6f1-4d0d-9149-14ac90ad8588%2Fm6eylrr_processed.png&w=3840&q=75)
Transcribed Image Text:Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows.
1
2
4
p(x) | 0.2
0.3 0.4
0.1
(a) Consider a random sample of size n =
2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X.
1
1.5
2
2.5
3
3.5
4
P(x) ||.04
12
.25
.28
.22
.08
.01
(b) Refer to part (a) and calculate P(X < 2.5).
.69
(c) Again consider a random sample of size n =
for each outcome and use the probabilities from part (a).]
2, but now focus on the statistic R
the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R. [Hint: Calculate the value of R
R
1
2
P(R)
.3
.44
.22
.04
(d) If a random sample of size n = 4 is selected, what is P(X < 1.5)? [Hint: You should not have to list all possible outcomes, only those for which x < 1.5.]
.7928
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