160 Individual gas mileages (in miles per gallon) of Model xtra ss (Extra Super-

Question

160 Individual gas mileages (in miles per gallon) of Model xtra ss (Extra Super-sporty) sedans are normally distributed with a popuiation mean of 20 and a population standard deviation of 2 Based on these information, if what is the probability that the gasmileage(in miles per you bought a Model Xtra SS sedan, - gallon) of your single, individual sedan is between 19.5 and 20.52 A. 0.0987 B.0.4013 C. 0.1974 D. Not enough intormation given to answer this question E. None ot the above a,ro 5 X1:19.0

Explanation / Answer

Z= (x-mean)/std. Dev.

P(19.5 < X < 20.5) = P(z < (20.5-20)/2) -P(z < (19.5-20)/2)

= p(z < 0.25) - p(z < -0.25) = 0.5987 - 0.4013 = 0.1974

Answer is option c

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