13 pcInts Deworestar0 5 E.041 as submissions used My Notes Ask Your Let Xhe the

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13 pcInts Deworestar0 5 E.041 as submissions used My Notes Ask Your Let Xhe the number of packages eing mailed by andly selected custamer at a certain shipping acity Suppose the distribution of X is s follows. (x)| 0.1 0.3 0.4 0.2 Considel d random samiple size 2 [wu cusurne's " and let X be the sdrriple medn number o pec ayes shipped. Ob diri the probability distribution o X. 1.5 2.5 3.5 (b) Refer to part (a) and c 2.5) (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. int: Calculate the value of R for cach outcome and use the probabilities from pert (a).] (d) f a random sample of sizc n - 4 is solccted, whatis R 1.5)? [Hint: You should not have to list all possible outcomes, only thosc for which 1.5.] Need Help? O Show My Work upcrul Submit Answer Save Progress

Explanation / Answer

a)for P(Xbar) =P(x1)*P(x2)

b)P(Xbar<=2.5)=0.52

c)

d)P(Xbar<=1.5) =P(all 4 are 1 +3 are 1 amd 1 is 2 +2 are 1 and 1 is 3 +2 are 1 and 2 are 2)

=0.14+4*0.13*0.3+4*0.13*0.4+6*0.12*0.32 =0.0083

x 1 1.5 2 2.5 3 3.5 4 xbar 0.01 0.06 0.17 0.28 0.28 0.16 0.04

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