Question
E90%of the ims Buppose17fig sam rand nl, T* toananine, Sighesona certain route nmana Accrong selected and tha rumber ef on tme fights is recorded Lse tocheokogy to find the probabilties. Use the Tech Hep buton for further aaiatance al Determine whether ths is a bineminl eocpatmant b) Find and mlerpros te probabisty that exacthy 15 fights ane on tme. el Find and interpret the probsbity thert at least 15 fights are an time Idl Find and intarprut the probabisty that fewer than 15 fights are on time (e) Fnd and irterpret the probsbity thal between 14 and 16 fights, inclusve, arm on tine. (a) Does the probablity experment mgnsert a binomial rexperiment? A. No, becauso there are more than two maualy exclusivn cuicomes for eoch thal /n pemeri Yee, because the expenman satisnes all the eniona tor a tinonia C. becsan lhe trials of the gapurinert an, nil idependent D. No, bacause the probablity of success dmers from trial to seal b) The probebiity that exactly 15 fights are on time is Round to foue decimal placss as needed ) Choose the comect onswer bedow d A. In 100 trtals of this experiment·we expect about 28 to reedt in exactly 1s noms being on B. In 100 trials of this experiment, w-expect out 76to result n exactly 15tights berg on Oc. In 1o0 rises this esperment, we expect aocu 15 to result in sxacdy 28 fights being on D. In 100 trials of this experment, wo expect about 24 to nesut n exacty s nights being on tme. time
Explanation / Answer
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a) For binomial probability, np>=10, 17*0.90=15.3, this is a binomial experiment.
b) Using technology, probability is P(X=15)=0.2800, Interpretation, option A)
c) P(X>=15)=0.762, Option B)
d) P(X<15)=0.238 Option B)
