Tead e lo n 1jxpxn last twd fiips of the coin for

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romputer compute iu.,tead E lO (n - 1Jx)px(n). last tWD fiips of the coin. (For in8tanre, for the outcome hht. ~ have X = 2. What nwnerical ans~r did the comput.er give her" (Explain your an~~r Y = I, and (or the outcome tth we have X = 0, Y = 1.) Provide a table that carefully.) gi~ the joint distribution o( X and Y, i.e., a tfLble that gives the nwnbers P(X = k, Y = I), k = D, 1,2, t = 0,1,2. (The numbers in the tfLble should be given 8B (rsction~, or in decimal (onn.) (Show and explain yoUr work.) L~ fx(~) M 1~l,C.. g~ o V(;I,~ h- j '1'"- {) @ fro~lA-f:tA 1 -"""-VVA~ ~;.'\'''-j::o "so-;., @ f'ILfi"i~ r;>< o~tJ.";" jM"w"V ~-----"--I \ I'; I \ A·.{~: 'J I , -_.-----. ll} (to points) A continuous random variable X has probability density 12) (10 points) A continuous random variable Y has probabiJity deIl8ity (unc- function given below, where C is an appropriate number. tion given below. Olf'<O' 0 if 8<-1 or s>l, fx(s) ~ Cs if OS;s<l, Jy(s) = 1 + s if -1 $. ., < 0, { { Cs- 3 1f lJ ~ 1. 1 - s if 0 s: H s: 1. Find the value of C Md compute the me-an 1-lX of X. (Provide llwnerical Clmpute Va.r(Y). (Provide a numerical answer in decimal (orm.) (Show snd answers in decima.l fOffi'l.) (Shvw and p,Xplain your '\\'Ork.) e>..-plsin your work.) 1 {pv) 1 \ - ...... - .. !~ ,/ t '_'" / "'-- i "') - 7 • ,. S~(A) ~ ~·i ( c -</J (c';' J,',.. ~ 'oP 0 , \ ,,'- J (Ai ~>,.. /<,"- (1+1..) dtr- + -.J ty J ~cf' r 'J f - (- ..1\ ~J ~ \ C l. z. - 0 -t C L 0 - \ <..) c. '. o ([k', }.') dl>..- + (lJ,?- i; ) JJ;. - ~ .~ .) = , -I rI7 f/ i \ ,.-2. :~J. = - + I~ L -1 , ~v (y)
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( 13) (l0 points) Suppose that W is a random variable with !lorma! distribution 14) (10 points) You have an appointment with a friend at 4:00 pm. You know with mean -1 and st&.ndw-d deviation 2. Compute from experience that your friend will arrivt:l at a time that differs from 4:00pm by a random amount T with normal distribution with mean 0 and standa.rd P(-3 < W < 0). deviation 5 minutes. (A negativt:l value of T means that your friend arrivell early, 6.
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