Binomial Distribution Calculator

Enter Number of Occurrences (n) Enter probability of success (p) Enter Number of successes (k) Moment Number (t) (Optional)

Calculate the Z score using the Normal Approximation to the Binomial distribution given n = 10 and p = 0.4 with 3 successes with and without the Continuity Correction Factor

The Normal Approximation to the Binomial Distribution Formula is below:
Z =X - np
np(1 - p)

Calculate the mean μ (expected value):
μ = np
μ = 10 x 0.4
μ = 4

Calculate nq to see if we can use the Normal Approximation:
Since q = 1 - p, we have n(1 - p) = 10(1 - 0.4)
nq = 10(0.6)
nq = 6

Since np and nq are both not greater than 5, we cannot use the Normal Approximation to the Binomial Distribution.