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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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
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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