Commication

DMD Assignment 1. (3.7) (a) firstly, suppose it is radiation diagramly distribution, we hump the mean of the love orchard apple trees lading is 4.2(µ=4.2), the trite going away is 1.0(?=1.0). Assume that the weight of tomato is dependent. The tomatoes are exchange in package of three. ?~N(nµ, ?n?). E(?)=3*µ=12.6 ?(?)= ?3*?=1.7321 (b) P(11.0???13.0)=P{(11-12.6)/1.7321?(?-E(?))/?(?) ?(13.0-12.6)/1.7321} =0.5910-0.1788=0.4122=41.2% 2. (3.9) Let X look up the region increase in the Dow Jones Index. Let Y bring up the parting increase in S& ampere;P five hundred index. assure X and Y ensue a conjugation Normal distribution. The mean of X is 11% (µx=0.11), the standard leaving of X is 13% (?x=0.13). the mean of Y is 10%(µy=0.10), the standard deviation of Y is 12% (?y=0.12). Suppose CORR(X,Y)=0.43. (a)P(X?0.11)=1-P{(X-µx)/ ??(0.11-0.11)/0.13} =1-F (0) =1/2=50% (b)P(X?-0.11)=P{(X-µx)/?x?(-0.11-0.11)/0.13} =F(-1.69)=0.0455=45.5% (c)P(0?Y?0.15)=P{(X-µy)/?y?(0.15-0.10)/0.12}-P{(X-µy)/?y?(0-0.10)/0.12} =0.6628-0.20=46.3% (d) Suppose A is the portfolio of Dow Jones index and S&P index. So, E(A)=0.3*0.11+0.7*0.10=0.103 Var(A)=0.32*0.132+0.72*0.122+2*0.3*0.7*0.43*0.13*0.12=0.01138 ?(A)=0.1067 (e) (X-Y) alike conforms Normal distribution. µ(x-y) =0.01, ?(x-y) =0.13. (X-Y)~N (0.01, 0.

13) P{ (X-Y) ?0}=1-P{ (X-Y)- µ(x-y)/ ?(x-y)?(0-0.01)/0.13}=1-F(-0.0415)=0.532=53.2% 3. (3.15) (a) We quite a little see from the topic of the problem, comport and infer that the measuring of X ~ Binomial (n, p). So, assume S=X1+X2++Xn, n=2 euchre, p=0.1. E(S) = n*p=250, ?s= 15 (b) Revenue: assume Y be the returned revenue item. Y~ Binomial (n, p). E( Y) =500*250-Sn*500=125,000-500*Sn =1125000; ?y=335.4 (c ) assume the Z be the item, P(Z?1,300,000) =1-P(Z?1,300,000-1125000/335.4) =1-P(521.77)=0 4.(3.18) (a) The assumptions are that the prospect of hazardous problem happened is in depended from each other, and also obey the identically distribution. The assumptions appear to be...If you loss to get a full(a) essay, put up it on our website: Orderessay

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