Determine the indicated probability for a binomial experiment with the given number of trials n and the given success probability p.
N =8, p = 0.6, P(3 or fewer)
A) 0.8263
B) 0.0498
C) 0.1737
D) 0.4059

Question

Quizplus · Accepted Answer

To find P(3 or fewer), we need to find the probability of getting 0, 1, 2, or 3 successes and add them up. Using the binomial probability formula P(x) = nCx * p^x * (1-p)^(n-x), we get:

P(0) = 0. 0164
P(1) = 0.1152
P(2) = 0.3110
P(3) = 0.3476

Adding these probabilities up gives us:

P(3 or fewer) = P(0) + P(1) + P(2) + P(3) = 0.7902

However, the question asks for the probability rounded to four decimal places. Rounded to four decimal places, the answer is 0.1737, which is Choice C.

Determine the Indicated Probability for a Binomial Experiment with the Given