Final answer:
To find P(x=3), use the binomial probability formula P(x) = binompdf(n, p, x), where n is the number of trials, p is the probability of success, and x is the number of successful outcomes. In this case, P(x=3) = 0.1927.
Step-by-step explanation:
To find P(x=3), we need to use the binomial probability formula which is P(x) = binompdf(n, p, x), where n is the number of trials, p is the probability of success in each trial, and x is the number of successful outcomes we're interested in. In this case, n is not specified, so it's assumed to be the maximum possible value, which is 15. Using the given probability p=0.281, we can calculate P(x=3) as follows:
P(x=3) = binompdf(15, 0.281, 3) = 0.1927.
Therefore, the probability of having exactly 3 successful outcomes is 0.1927.