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 0.28125, or 28.125%.

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:

P(X=k) = (nCk) * p^k * q^(n-k)

Where n is the number of trials (10), k is the number of successful outcomes (9), p is the probability of a success (0.75), and q is the probability of a failure (1 - p).

Plugging in the values:

P(X=9) = (10C9) * (0.75^9) * (0.25^1)

= 10 * 0.75^9 * 0.25

= 0.28125

Therefore, the probability that 9 out of 10 high school students will graduate is 0.28125, or 28.125%.