When Evelyn runs the 400 meter dash, her finishing times are normally distributed with a mean of 73 seconds and a standard deviation of 1.5 seconds. If Evelyn were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 71 and 76 seconds, to the nearest whole number?
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Solution
Step 1 :Step 1: Find the z-scores for 71 and 76 seconds
Step 2 :Step 2: Calculate the probability between the z-scores
Step 3 :Step 3: Multiply the probability by the number of trials