When we use normal distribution to approximate a binomial distribution Why do we make a continuity correction?

On the other hand, when the normal approximation is used to approximate a discrete distribution, a continuity correction can be employed so that we can approximate the probability of a specific value of the discrete distribution. The continuity correction requires adding or subtracting .

When using the normal approximation to the binomial distribution What do we use for the mean?

Then the binomial can be approximated by the normal distribution with mean μ=np and standard deviation σ=√npq. Remember that q=1−p. In order to get the best approximation, add 0.5 to x or subtract 0.5 from x (use x+0.5 or x−0.5).

Why do we make a continuity correction?

A continuity correction factor is used when you use a continuous probability distribution to approximate a discrete probability distribution. For example, when you want to use the normal to approximate a binomial.

What is continuity correction for normal approximation?

A continuity correction is applied when you want to use a continuous distribution to approximate a discrete distribution. Typically it is used when you want to use a normal distribution to approximate a binomial distribution. A continuity correction is the name given to adding or subtracting 0.5 to a discrete x-value.

What is approximate distribution?

normal approximation: The process of using the normal curve to estimate the shape of the distribution of a data set. central limit theorem: The theorem that states: If the sum of independent identically distributed random variables has a finite variance, then it will be (approximately) normally distributed.

Why is normal approximation used?

The tool of normal approximation allows us to approximate the probabilities of random variables for which we don’t know all of the values, or for a very large range of potential values that would be very difficult and time consuming to calculate.

When can you approximate binomial with normal?

When n * p and n * q are greater than 5, you can use the normal approximation to the binomial to solve a problem.