What is the age distribution of patients who make office visits to a doctor or n

Question

What is the age distribution of patients who make office visits to a doctor or nurse? The following table is based on information taken from a medical journal. Suppose you are a district manager of a health management organization (HMO) that is monitoring the office of a local doctor or nurse in general family practice. This morning the office you are monitoring has eight office visits on the schedule. What is the probability of the following? (a) At least half the patients are under 15 years old. (Round your answer to three decimal places.) Explain how this can be modeled as a binomial distribution with 8 trials where success is visitor age is under 15 years old and the probability of success is 20%? Let n 8,p 0.80 and compute the probabilities using the Let n = 8, p-0.80 and compute the probabilities using the binomial distribution. Let n-8, p-0.25 and compute the probabilities using the binomial distribution. 10 Let n . 8, p-0.20 and compute the probabilities using the binomial distribution. O Let n = 15, p = 0.20 and compute the probabilities using the binomial distribution.

Explanation / Answer

Answer:

a).

n=8, p=0.20

P( x4)=0.056

Binomial Probabilities Table

X

P(X)

0

0.1678

1

0.3355

2

0.2936

3

0.1468

4

0.0459

5

0.0092

6

0.0011

7

0.0001

8

0.0000

let n=8, p=0.20 and compute the probabilities using binomial distribution.

b).

n=8, p=0.30

P(2x5)= 0.733

Binomial Probabilities Table

X

P(X)

2

0.2965

3

0.2541

4

0.1361

5

0.0467

c).

n=8, p=0.50

P(2x5)= 0.820

Binomial Probabilities Table

X

P(X)

2

0.1094

3

0.2188

4

0.2734

5

0.2188

d).

n=8, p=0.25

P(x=8)= 0.000

e).

n=8, p=0.20

P(x=8)= 0.000

Binomial Probabilities Table

X

P(X)

0

0.1678

1

0.3355

2

0.2936

3

0.1468

4

0.0459

5

0.0092

6

0.0011

7

0.0001

8

0.0000

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