Using theunit normal table, find the proportion under the standard normal curve that lies between the following values. (Round your answers to four decimal places.)

(a) the mean andz= 1.96

(b) the mean andz= 0

(c)z=1.40andz=1.40

(d)z=0.20andz=0.10

(e)z= 1.00 andz= 2.00

An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash are normally distributed with a mean equal to14.00and a standard deviation equal to 0.2 seconds. What percentage of players on the team runs the 100-meter dash in faster than14.44seconds? (Round your answer to two decimal places.)

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