Assuming the binomial distribution is appropriate, if N = 7, P = 0.40, what is the exact probability (7 decimal place accuracy) of getting 7 P events?
A) 0.0016000
B) 0.0016384
C) 0.0016254
D) can't tell because the binomial table only gives 4 decimal place accuracy

Question

Quizplus · Accepted Answer

Using the binomial distribution formula: P(X = k) = (N choose k) * P^k * (1-P)^(N-k)
where N = 7, P = 0.40, and k = 7
P(7) = (7 choose 7) * 0.40^7 * 0.60^(7-7)
P(7) = 0.0016384
Therefore, the best choice is B.

Assuming the Binomial Distribution Is Appropriate, If N = 7