The National Center for Health Statistics (NCHS) reports that 70% of U. S. adults aged 65 and over have ever received a pneumococcal vaccination. Suppose that you obtain an independent sample of 20 adults aged 65 and over who visited the emergency room and the pneumococcal vaccination rate applies to the sample.

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination. The probability of obtaining exactly k successes in n trials in a binomial setting withy probability p of success is each trial is

P(X=k)=(nk)pk(1?p)n?k

where (nk) is the binomial coefficient, also represented as nCk, and is defined as

(nk)=n!k!(n?k)!

Follow the steps to compute P(x=12). First determne the binomial coefficient. Do not round your answer.

20C12=125970

Compute (.7)^12, or the probability that exactly 12 adults have been vaccinated. Round your answer to six decimal places.

(.7)^12=

Compute (.3)8, or the probability that exactly 8 adults have not been vaccinated. Report as a decimal to eight decimal places. Do not round.

(.3)^8=

Compute P(x=12)=(20C12)(.7)^12(.3)^8, or the binomial probability that exactly 12 vaccinated adults are in the random sample of 20 adults. Round your answer to four decimal places.

P(x=12)=

P(x = 12) = 0.1144.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have received the vaccination, or they have not. The probability of an adult receiving the vaccination is independent from other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that

Sample of 20 adults

This means that

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is .

P(x = 12) = 0.1144.

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc