Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database, an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24, find the probability that the number of people in the sample who have been told that they have hypertension will be exactly 3?

You can use a binomial probability table or do this by hand.

If you are doing this by hand, use the binomial probability function, which states:

P(x) = (nCx)(p^x)[q^(n-x)]
x = 3
n = 20
p = .24
q = 1 - p

I'll let you take it from here.

I waint to get this answers

0.3183

To find the probability of exactly 3 people out of 20 in the sample having been told they have hypertension, we can use the binomial probability formula.

The binomial probability formula is:
P(X = k) = (n C k) * p^k * (1-p)^(n-k)

Where:
P(X = k) is the probability of getting exactly k successes
(n C k) is the binomial coefficient, which can be calculated as n! / (k! * (n - k)!)
p is the probability of success in a single trial (in this case, the probability of an adult having been told they have hypertension)
n is the number of trials (in this case, the number of adults in the sample)

Given:
p = 0.24 (the probability that each adult in the sample has been told they have hypertension)
n = 20 (the number of adults in the sample)
k = 3 (the number of successes)

Let's calculate the probability:

P(X = 3) = (20 C 3) * (0.24)^3 * (1-0.24)^(20-3)

The binomial coefficient (20 C 3) can be calculated as:
(20 C 3) = 20! / (3! * (20 - 3)!)
= 20! / (3! * 17!)

Using a factorial calculator or formula, the calculation simplifies as:
(20 C 3) = (20 * 19 * 18) / (3 * 2 * 1) = 1140

Calculating the probability:
P(X = 3) = 1140 * (0.24)^3 * (0.76)^17

Now, let's plug in the values and calculate the probability:

P(X = 3) = 1140 * (0.24)^3 * (0.76)^17 ≈ 0.2219

Therefore, the probability that exactly 3 people out of the sample of 20 adults have been told they have hypertension is approximately 0.2219 or 22.19%.