Comparing Approximations to the Binomial Distribution
If n is large and p is small the Poisson approximation can be used.
If n is large, np not less than 5 and n(1-p) is not less than 5 a normal approximation can be used.
Enter values for n, p, x
_{1}
, x
_{2}
and x
_{3}
.
The program will provide probabilities: P(X ≤ x
_{1}
), P(X ≤ x
_{2}
) and P(X ≤ x
_{3}
) calculated using the binomial distribution and the poisson and normal approximations.
n =
p =
x
_{1}
=
x
_{2}
=
x
_{3}
=
Binomial
Poisson
Normal
Bury Maths Tutor