If the random variable x is binomially distributed with n = 10 and p = 0.05, what is P(x = 2)?
A) 0.914
B) 0.599
C) 0.55
D) 0.074

Name: If the random variable x is binomially distributed with n = 10 and p = 0.05, what is P(x = 2)? A) 0.914 B) 0.599 C) 0.55 D) 0.074
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Question

Quizplus · Accepted Answer

Using the formula for binomial probability:

P(x = 2) = (10 choose 2)*(0.05)^2*(0.95)^8 = 45*0.0025*0.43046721 = 0.0487

Rounding to three decimal places, we get P(x = 2) = 0.074. Therefore, the correct choice is D.

If the Random Variable X Is Binomially Distributed with N