Assume that a procedure yields a binomial distribution with a trial repeated n = 30 times. Use the binomial probability formula to find the probability of x = 5 successes given the
Probability p = 1/5 of success on a single trial. Round to three decimal places.
A)0.172
B)0.067
C)0.198
D)0.421

Question

Quizplus · Accepted Answer

The binomial probability formula is:P(x) = (n! / (x!(n-x)!)) * p^x * (1-p)^(n-x)Plugging in the given values, we get:P(5) = (30! / (5!(30-5)!)) * (1/5)^5 * (4/5)^(30-5)P(5) = 0.1718 (rounded to three decimal places)Therefore, the probability of x = 5 successes is 0.172.

Assume That a Procedure Yields a Binomial Distribution with a Trial