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ew History Bookmarks People Window Help 100% · Sat 10:34 x 21 Basket | Forever21 x AE American Eagle Outfitters Me xUO Who's Most Likely To Game WeBWork /webwork.math.missouri.edu/webwork2/MU STAT 2500 SP18/WBWK3-Ch4/2/PeffectiveUser eghn9c&displayMode; MathJax&she; MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork / mu stat 2500 sp18/ wbwk3-ch4 2 WBWK3-Ch4: Problem 2 Prev UpNext 2 pts) Round answers below to three decimal places At a certain large university, 28 percent of students are graduate students. A random sample of 13 students will be selected and the random variable X number of graduate students in the sample will be observed. (a) The probability that the sample will contain exactly 2 graduate students is ) The expected value of X is (c) The standard deviation of is Note: You can eam partial credit on this prablem Answers Submit Answers You have attempted this problem O times You have unlimned attempts remaining s3 5 7 8 9 0Explanation / Answer
Modeling this as a Binomial distribution with parameters:
n = 13, p = 0.28
(a)
P(X=2) = 13C2*0.282*(1-0.28)11 = 0.165
(b)
Expected value of X = n*p = 13*0.28 = 3.64
(c)
Standard deviation of X = (n*p*(1-p))0.5 = (13*0.28*(1-0.28))0.5 = 1.619
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