Question

The attendance for a week at a local theatre is normally distributed, with a mean of 4000 and a standard deviation of 500. What percentage of the attendance figures would be less than 3500? What percentage of the attendance figures would be greater than 5000? what percentage of the attendance figures would be between 3700 and 4300 each week?

Answer 1

Explanation:

This curve alone does not give exact percentages with the exception of P(z=0) = .50 or 50%

A Pictorial where 'some' of the % have been added for helps more...

However, most often one needs to use a table, calculator, or an Excel function ect to find exact Percentage,

P(x > 4000) = P(z = 0) = .50 or 50 % |using above pictorial

Using Calculator etc: Here, am using the Excel NORMSDIST function to find the Percentages:

P(z=3/5 - z=-3/5) = .7257 - .2742 =.4515 or 45.15%

Answer 2

ok its 45.15% trust me