Piqua Ohio is known for its numerous stoplights. As you drive through downtown Piqua you notice...
Piqua Ohio is known for its numerous stoplights. As you drive through downtown Piqua you notice there are 6 stoplights. Each stoplight works independently of each other and each one has a 30% change of being red. What is the probability of hitting less than 3 red lights?
Homework Answers
Given that ,
p = 0.30
1 - p = 1 - 0.30= 0.70
n = 6
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X < 3) = P(X=0) +P(X=1)+P(X=2)
= (6 C 0) * 0.300 * (0.70)6+(6 C 1) * 0.301 * (0.70)5+(6 C 2) * 0.302 * (0.70)4
probability =0.7443
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