Final answer:
To find the probability that x=20 in a binomial distribution with n=25 and p=36%, use the binomcdf function on a calculator. The probability that x > 20 can be found by subtracting the value from 1. Different distributions may be used to calculate probabilities for individuals and means.
Step-by-step explanation:
To find the probability that x=20 in a binomial distribution with n=25 and p=36%, you can use the binomcdf function on a calculator. In this case, you can use binomcdf(25, 0.36, 20). The result is P(x ≤ 20) = 0.9738.
To find P(x > 20), you can subtract the value from 1. So P(x > 20) = 1 - binomcdf(25, 0.36, 20) = 0.0262.
The probabilities for individuals and means may use different distributions, such as the exponential distribution or the normal distribution approximation.