Suppose that the mean value of interpupillary distance (the distance between the pupils of the left and right eyes) for adult males is 65 mm and that the population standard deviation is 5 mm.

(a) If the distribution of interpupillary distance is normal and a sample of 
n =25 adult males is to be selected, what is the probability that the sample average distance for these 25 will be between 64 and 66 mm? (Round all your intermediate calculations to four decimal places. Round the answers to four decimal places.)

P = 
 Will be at least 67 mm?P = 

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