A four year old is going to spin around with his arms stretched out 100 times. From past experience, his father knows it takes approximately 1/2 second to perform one full spin, with a standard deviation of 1/3 second. What is
the approximate probability that it will take this child over 55 seconds to complete spinning?

Step-by-step explanation:

Using central Limit Theorem (CLT), The sum of 100 random variables;

is approximately normally distributed with

Y ~ N (100 × ) = N ( 50, )

The approximate probability that it will take this child over 55 seconds to complete spinning can be determined as follows;

N ( 50, )

Using Chebyshev's inequality:

Let assume that X has a symmetric distribution:

Then:

              where: ()

i think it is 18

step-by-step explanation: