Question

A certain state has the highest high school graduation rate of all states at 75%.

in a random sample of 10 high school students from the state, what is the probability that 9 will graduate?

Answer 1

The probability that 9 out of 10 high school students will graduate is approximately 29.53%.

Step-by-step explanation:

To find the probability that 9 out of 10 high school students will graduate, we can use the binomial probability formula.

In this case, the state has a high school graduation rate of 75%, which means the probability of a student graduating is 0.75.

We want to find the probability of 9 students out of 10 graduating, so we can calculate it as follows:

P(X = 9) = C(10, 9) * (0.75)^9 * (1 - 0.75)^(10 - 9)

Where C(10, 9) is the number of combinations of selecting 9 students out of 10.

Using this formula, we can calculate

P(X = 9) = 10 * (0.75)^9 * (1 - 0.75)^(10 - 9)

P(X = 9) = 10 * (0.75)^9 * (0.25)^1

P(X = 9) = 0.2953,

or approximately 29.53%.