2. Calculate one of each of the following questions created by 3 different classmates.
a. Mean and standard deviation given, looking for the percentage between two x values.
Marks in a class is normally distributed with a mean mark of 71 and standard deviation of 11. 3
What percent of students scored between 65 - 75%?
b. Mean and standard deviation given, looking for the percentage above a certain x value.
The heights of 17-year-old boys' heights are normally distributed with a mean of 175cm and a standard deviation of 7.11cm.
What percent of the 17-year-old boys are above 179cm?
c. Mean and standard deviation given, looking for the x value at a certain percentile.
The length of time it takes for students who ride the bus to get to school is normally distributed with a mean of 25 mins and a standard deviation of 5 mins.
What time would be lower than 60% of all the other times?
