Suppose X is a binomial random variable, where n=12 and p = 0.4 compute p <...
Suppose X is a binomial random variable, where n=12 and p = 0.4
compute p < 4
a) 0.5622
b) 0.3453
c) 0.2253
d) 0.4382
Homework Answers
Given that ,
p = 0.4
1 - p = 1 - 0.4= 0.6
n = 12
Using binomial probability formula ,
P(X = x) = (n C x) * px * (1 - p)n - x
P(X < 4) = P(X=0) +P(X=1)+P(X=2)+P(X=3)
= (12 C 0) * 0.40 * (0.6)12+(12 C 1) * 0.41 * (0.6)11+(12 C 2) * 0.42 * (0.6)10+(12 C 3) * 0.43* (0.6)9
=0.2253
probability =0.2253
correct option c
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