SOLUTION: If the masses of 300students are normally distributed with the mean 69.0kg and standard deviation 3.0kg. How many students have masses a) greater than 72kg b) less than or equal

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Question 1182200: If the masses of 300students are normally distributed with the mean 69.0kg and standard deviation 3.0kg. How many students have masses
a) greater than 72kg
b) less than or equal to 64kg
c) between 65 and 71kg inclusive
d) equal to 68kg
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a. This is 1 sd above the mean or 15.87% or 47.61 students or 48.
b. this is (5/3) sd below the mean or 4.78% or 14.33 students or 14.
c. This is between -(4/3) sd and + (2/3) sd or 65.63% students or 196.88 or 197
d. None. This is assuming it is 68.00000... using the normal curve where every single point has zero probability. In real life, it would be theoretically possible for someone to have it, but in the context of this problem, no.