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) a According to Nielsen Media Research, 30% oftelevisions are tuned to NFL Mond

ID: 2955354 • Letter: #

Question

)       a    According to Nielsen Media Research, 30% oftelevisions are tuned to NFL Monday Night Football when it istelevised. Assuming the show is being broadcast and thattelevisions are randomly selected, determine the probabilitythat

a)         exactly5 of 15 televisions are tuned to NFL Monday NightFootball

  b)        lessthan 10 of 15 televisions are tuned to NFL Monday NightFootball

c)        morethan 12 of 15 televisions are tuned to NFL Monday NightFootball

d)        determinethe mean, variance, and standard deviation for thedistribution

Explanation / Answer

(d) mean =E(X)=n*p=15*0.3=4.5      variance=Var(X)=n*p*(1-p)=15*0.3*0.7= 3.15      standard deviation =Var(x)=3.15= 1.7748

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