In a binomial situation n = 5 and p = .40. Determine the probabilities of the following events using the binomial formula. a.) x = 1 b.) x = 2 Optional Information: Orlando, Florida
a) 0.2592 or 25.92%
(5 C 1) .4 ^ 1(1-.4)^(5-1)
b) 0.3456 or 34.56%
(5 C 2) .4 ^ 2(1-.4)^(5-2)
This can be verified when you add up the probability of all 6 possibilities, x = 0, x = 1, ... x = 5. They should equal 1, and they do
x = 0
.0777
x = 3
.2304
x = 4
.0768
x=5
.0102
.0777 + .2592 + .3456 + .2304 +.0768 + .0102 = 1
Thanks,
Ryan
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