ok can someone check my calculations A recent study of minim

ok can someone check my calculations

A recent study of minimum wage earners found that 22% of them are 16 to 24 year olds. Suppose a random sample of 500 minimum wage earner is selected. What is the Probability that at most 130 of them are 16 to 24 years old? use normal curve approximation to the binomial distribution.

Would the equation be 500(0.22)(1-0.22)=9.26282894

500*(0.22)=110

z=130.5-110/9.22629

z=2.2131298?

Solution

Here we have to use the normal curve approximation to the binomial curve.

The mean of the normal curve,500*.22=110

The standard deviation is =sqrt(500*.22*.78)=9.2628

We have to find P(x<=130)

In terms of normal distribution it is

P(x<130.5)=>P(z<(130.5-110/9.22629))=P(z<2.213)

Using the z table the probability is =.9864

***Your all calculation are perfect.Thanks