The National Center for Health Statistics (NCHS) reports that 70% of US adults a

Question

The National Center for Health Statistics (NCHS) reports that 70% of US 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 where ( ) is the binomial coefficient, also represented as nd, and is defined as n! Follow the steps to compute P(x = 12). First determne the binomial coefficient. Do not round your answer. 20C12125970 Compute (.7)2. or the probability that exactly 12 adults have been vaccinated. Round your answer to sik decimal places (7)12 Scroll

Explanation / Answer

(0.7)^12 = 0.013841

(0.3)^8 = 0.00006561

As per binomial distribution,
P(X=r) = nCr * p^r * (1-p)^(n-r)

P(x =12) = 20C12 * 0.7^12 * 0.3^8 = 0.1144

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.