Question

At a large electronics corporation, the HR Director determined that 38% of the employees have at least one degree. A random sample of five of these employees is taken, and X is the number of employees in the sample with at least one degree. I. a. Justify that X can be modeled as binomial. b. State the possible values of c. Compute the probability distribution of X. Round each probability to 3 decimal places. d. State the meaning of P(3) e. To one decimal place, compute μΧ. f. State the meaning of H g. To one decimal place, compute σχ
0 0
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Answer #1

Given p 0.38, n 5 a) i)Number of trails n-5 is finite ii) the five samples are independent ili) each trail contain two mutually exlcusive cases i.e. at least one degree or not Therefore the give data is Binomial b) The possible value of X is 0,1,2,3,4,5 c)The probablity di stribution of Xis 0 0.091613 1 0.2807:5 2 0.344146 3 0.210928 4 0.064639 5 0.007924 d)P (3) 0.210928

e)

From the given data

X P(X=x) xP(X=x) X^2P(X=x)
0 0.091613 0 0
1 0.28075 0.28075038 0.28075038
2 0.344146 0.68829126 1.37658253
3 0.210928 0.6327839 1.89835171
4 0.064639 0.25855686 1.03422746
5 0.007924 0.03961758 0.19808792
Total: 1.9 4.788

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