Question

Suppose a random variable, x, arises from a binomial experiment with n = 25 and p = 0.85. Find P(X = 15) using Excel.

a) Use the BINOM.DIST function in Excel
b) Use the SUM function in Excel
c) Use the AVERAGE function in Excel
d) Use the MAX function in Excel

Answer 1

Option A). To find P(X = 15) using Excel, you can use the BINOM.DIST function with the appropriate syntax.

Step-by-step explanation:

To find P(X = 15) using Excel, we can use the BINOM.DIST function. The syntax for the BINOM.DIST function is BINOM.DIST(x, n, p, cumulative), where x is the value of the random variable, n is the number of trials, p is the probability of success, and cumulative is a logical value that determines whether to calculate the cumulative probability or the probability mass function. In this case, x = 15, n = 25, p = 0.85, and cumulative = FALSE. Thus, the formula in Excel would be:

=BINOM.DIST(15, 25, 0.85, FALSE)

This will give you the probability that the random variable X takes the value 15 in the binomial distribution.