DETAILS MY NOTES DEVORESTAT9 5.3.041. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER 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. x 1 2 3 4 p(x) 0.4 0.1 0.2 0.3 (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. I. 1 P(x) 0 16 1.5 0.08 2 17 2.5 28 3 3.5 0.04 X 12 4 09 (b) Refer to part (a) and calculate P(X ≤ 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 of R for each outcome and use the probabilities from part (a).] R 0 1 P(R) 0 X 2 3 (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.] Need Help?
DETAILS MY NOTES DEVORESTAT9 5.3.041. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER 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. x 1 2 3 4 p(x) 0.4 0.1 0.2 0.3 (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. I. 1 P(x) 0 16 1.5 0.08 2 17 2.5 28 3 3.5 0.04 X 12 4 09 (b) Refer to part (a) and calculate P(X ≤ 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 of R for each outcome and use the probabilities from part (a).] R 0 1 P(R) 0 X 2 3 (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.] Need Help?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![DETAILS
MY NOTES
DEVORESTAT9 5.3.041.
PREVIOUS ANSWERS
ASK YOUR TEACHER
PRACTICE ANOTHER
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.
x
1
2 3 4
p(x) 0.4 0.1 0.2 0.3
(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.
I.
1
P(x) 0 16
1.5
0.08
2
17
2.5
28
3
3.5
0.04 X
12
4
09
(b) Refer to part (a) and calculate P(X ≤ 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 of R for each outcome and use the probabilities from part (a).]
R
0
1
P(R) 0
X
2
3
(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.]
Need Help?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58fe1696-bfc2-48d2-adb3-30e51354fdf0%2Fb4fc7d42-e26a-4598-b056-6ea0838fdebf%2Fwlxh9g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:DETAILS
MY NOTES
DEVORESTAT9 5.3.041.
PREVIOUS ANSWERS
ASK YOUR TEACHER
PRACTICE ANOTHER
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.
x
1
2 3 4
p(x) 0.4 0.1 0.2 0.3
(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.
I.
1
P(x) 0 16
1.5
0.08
2
17
2.5
28
3
3.5
0.04 X
12
4
09
(b) Refer to part (a) and calculate P(X ≤ 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 of R for each outcome and use the probabilities from part (a).]
R
0
1
P(R) 0
X
2
3
(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.]
Need Help?
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