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5:21PM FriOct 13 = 65% @m ) 13 of 13 <. > pbinom(4,12,.3)-pbinom(1,12,.3) Determine P(X >5) [1] 0.6386304 '_ P(X Z;g\ > 1-pbinom(5,12,.3) [1]0.1178487 Popper P ] 4 Seventy percent of all trucks undergoing brake inspgction ata certain ili nspection. Consider a group of 15 trucks. What is the probability that between 10 and 12 trucks inclusively pass the inspection? P( b £ /r 7 \23 (a) 0.5948 b. 0.3887 _ P(XL_._]Q\\_.P(Xé_,q> c. 0.2186 d. 0.5008 > pbinom(12,15,.7)-pbinom(9,15,.7) [1] 0.5947937 e.none of these 5. Find the mean and standard deviation for the rv X as described in the problem above. _ _ a.Mean = 10.5, standard deviation = 3.15 IS ('7X @\l\:ean = 4.5, standard deviation = 3.15 (S j 4\75_ (,]\ ('5 ean = 10.5, standard deviation = 1.77 d.Mean = 4.5, standard deviation = 1.77 > 157 1110.5 e.None of these [>]sqrt(15'.7'.3) [1] 1.774824
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