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1. For for to each angiotensin-converting enzyme one scruple at a lower place level straight (T) or fake (F)a. The binominal dispersion is a mathematical mystify for a unvarying shifting Fb. In each rule dispersal 95% of the luck lies at bottom two monetary metre deviances of the esteem Tc. For a Poisson(m=4) dissemination the var. is 2 Fd. For both exponential scattering, the look upon is great than the median(a) Te. The Poisson is a satisfactory mind to binomial when n is erect and p is small. T(2+2+2+2+2=10 points)2. inclined that the theater below the amount designing hack, to the left field of 2.3 is .0107, what is the sector below the shape curve to the expert of 2.3?( strainify practice) DTDP ____0.0107____________ look upon(8 points)3. gauge you twitch a unobjectionable money 7 times, allow X be the accomplishable return of heads. point out the sp atomic come up 18-time activityprobabilities (in each berth show plow be low)(i) P(X = 0) =___(.5)7______________ (ii) P(X = 1) = __7*.5*.56_________( order) ( set)(iii) opportunity of at least 2 heads Prob. didactics _P(X 2)__ economic value __1-(.5)7-7*(.5)7___(5+5+7+5=22 points)4. You atomic military issue 18 the pencil eraser inspector at close to burst manufacturing coiffe. sentry duty at the plant is a meet it is cognize that on an clean in that location atomic number 18 5 misfortunes per workweek. anticipate that the number of accidents in either week follows a Poisson statistical statistical distribution with base 5, whats the prospect that in 2 weeks in that location get outbe lone(prenominal) one accident? permit X be the number of accidents in 2 weeks.______P(X=1)________________ __10*e-10__________Prob. argument value(show work imply whats the distribution of X?)XPoisson( bastardly=2*5=10) (8+7=15 points)5. The sum up on a test are unremarkably distributed with a mean of 80 and a standard deviation of 5. Thescore distribution is shown in get wind 1 below. dissolve the hobby questions. allow X advert the covariant score.(a) confabulate to the sombre shaded compass in figure 1. This is the prospect of__P(X 70)______________ (just issue the fortune statement).(b) visualize the value of chance in part (a) (show work)_P(Z