Calculate each binomial probability:
a. X = 2, n = 8, ð = .10
b. X = 1, n = 10, ð = .40
c. X = 3, n = 12, ð = .70
d. X = 5, n = 9, ð = .90
If you are asked to do this by hand, try the binomial probability formula:
P(x) = nCx * p^x * q^(n-x)
Note: * means to multiply; ^ means raised to the power of.
For a), use:
x = 2
n = 8
p = .10
q = 1 - p = .90
I'll let you substitute the values and take it from here.
An easier way to do these problems is to use a binomial probability table. In the table, n = 8, p = .10, x = 2.
I've given you some ideas using part a) as an example. I'll let you try to figure out the rest on your own.