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transportation officials tell us that 90% of drivers wear seat belts while drivi

ID: 3045445 • Letter: T

Question

transportation officials tell us that 90% of drivers wear seat belts while driving what is the probability Remaining Time: 1 hour, 23 minutes, 26 seconds. e Question Completion Status Moving to another qestion wil save this response Question 4 Solve the problem Transportation officials tell us that 90% of drivers wear seat belts hie dr ng What s the potabity that between 525 and 530 d ers n a sample of 600 d vers wear seat belts 00811 0 0174 0 9015 0 0985 Mowng to another question well save this response enovO Esc Home

Explanation / Answer

Ans:

Normal approximation to the binomial distribution:

mean=np=600*0.9=540

standard deviation=sqrt(600*0.9*0.1)=7.35

(use continuity correction factor +/-0.5)

z(524.5)=(524.5-540)/7.35=-2.11

z(530.5)=(530.5-540)/7.35=-1.29

P(-2.11<z<-1.29)=P(z<-1.29)-P(Z<-2.11)=0.0985-0.0174=0.0811

First option is correct(0.0811)