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Edit View History Bookmarks Window Help WeBWork: Math311 14270 Johnson F17:13.NormalDistribution 1:3 114| | +.| www.math.csi.cuny.edu/web work2/Mat h 311, 14270J Lebanon 24 -.in Apple Bing Google 13 NormalDistribution 1/3/e C Yahoo 5 Chest Worker's Guidel Abs All excersise Yahoo mework Sots 3NomDai 13.NormalDistribution 1: Problem 3 Problem Prev UpNext (1 A new car that is a gas- and electric-powered hybrid has recently hit the market. The asswordEmail rades distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a Problems standard deviation of 6 miles. Find the probability of the following events: A. The car traveis more than 73 miles pealion. Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Probabity 8. The car travels less than 60 miles per gallon. Probability C. The car travels between 57 and 72 miles per gallon. View equationa Probability images Note: You can earn partial creait on this problem. MathJax Show saved answers? . Yes Preview Answers Submit Answers You have attempted this problem 0 times. No 20

Explanation / Answer

Mean is 65 and s is 6. z is given as (x-mean)/s

a) P(x>73)=P(z>(73-65)/6)=P(z>1.33) , or 1-P(z<1.33), from normal distribution table we get 1-0.9082=0.0918

b) P(x<60)=P(z<(60-65)/6)=P(z<-0.83) or 1-P(z<0.83)=1-0.7967=0.2033

c) P(57<x<72)=P((57-65)/6<z<(72-65)/6)=P(-1.33<z<1.17) or P(z<1.17)-(1-P(z<1.33))=0.8790-(1-0.9082)=0.7872

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