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.

Age group, years | Under 15 | 15-24 | 25-44 | 45-64 | 65 and older |

Percent of office visitors | 20% | 15% | 25% | 20% | 20% |

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* = 15, *p* = 0.20 and compute the
probabilities using the binomial distribution.Let *n* = 8,
*p* = 0.35 and compute the probabilities using the binomial
distribution. Let *n* = 8, *p*
= 0.80 and compute the probabilities using the binomial
distribution.Let *n* = 8, *p* = 0.20 and compute the
probabilities using the binomial distribution.

(b) From 2 to 5 patients are 65 years old or older (include 2 and
5). (Round your answer to three decimal places.)

(c) From 2 to 5 patients are 45 years old or older (include 2 and
5). (*Hint:* Success if 45 or older. Use the table to
compute the probability of success on a single trial. Round your
answer to three decimal places.)

(d) All the patients are under 25 years of age. (Round your answer
to three decimal places.)

(e) All the patients are 15 years old or older. (Round your answer
to three decimal places.)

Answer #1

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.
Age
group, years
Under 15
15-24
25-44
45-64
65 and older
Percent of office
visitors
20%
5%
25%
20%
30%
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...

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.
Age
group, years
Under 15
15-24
25-44
45-64
65 and older
Percent of office
visitors
10%
5%
20%
10%
55%
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...

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.
Age
group, years
Under 15
15-24
25-44
45-64
65 and older
Percent of office
visitors
20%
15%
25%
20%
20%
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...

What was the age distribution of nurses in Great Britain at the
time of Florence Nightingale? Suppose we have the following
information. Note: In 1851 there were 25,466 nurses in Great
Britain. Age range (yr) 20-29 30-39 40-49 50-59 60-69 70-79 80+
Midpoint x 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses
5.4% 9.5% 19.9% 29.2% 24.8% 9.7% 1.5% (a) Using the age midpoints x
and the percent of nurses, do we have a valid probability
distribution? Explain....

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age (years)
Percent of Canadian Population
Observed Number
in the Village
Under 5
7.2%
49
5 to 14
13.6%
76
15 to 64
67.1%
283
65 and older
12.1%
47
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

What is the age distribution of promotion-sensitive shoppers? A
supermarket super shopper is defined as a shopper for whom
at least 70% of the items purchased were on sale or purchased with
a coupon.
Age
range, years
18-28
29-39
40-50
51-61
62 and over
Midpoint x
23
34
45
56
67
Percent of super
shoppers
10%
43%
20%
10%
17%
For the 62-and-over group, use the midpoint 67 years.
(a) Using the age midpoints x and the percentage of
super...

In the binomial probability distribution, let the number of
trials be n = 3, and let the probability of success be p = 0.3742.
Use a calculator to compute the following.
(a) The probability of two successes. (Round your answer to
three decimal places.)
(b) The probability of three successes. (Round your answer to
three decimal places.)
(c) The probability of two or three successes. (Round your
answer to three decimal places.)

The age distribution of the Canadian population and the age
distribution of a random sample of 455 residents in the Indian
community of a village are shown below.
Age
(years)
Percent of
Canadian Population
Observed
Number
in the Village
Under 5
7.2%
45
5 to 14
13.6%
83
15 to 64
67.1%
280
65 and older
12.1%
47
Use a 5% level of significance to test the claim that the age
distribution of the general Canadian population fits the age...

For one binomial experiment, n1 = 75 binomial trials
produced r1 = 45 successes. For a second independent
binomial experiment, n2 = 100 binomial trials produced
r2 = 65 successes. At the 5% level of significance, test
the claim that the probabilities of success for the two binomial
experiments differ.
(a) Compute the pooled probability of success for the two
experiments. (Round your answer to three decimal places.)
(b) Compute p̂1 - p̂2.
p̂1 - p̂2 =
(c) Compute the...

What is the age distribution of promotion-sensitive shoppers? A
supermarket super shopper is defined as a shopper for whom at least
70% of the items purchased were on sale or purchased with a
coupon.
Age range, years 18-28, 29-39, 40-50, 51-61, 62 and over
Midpoint x 23, 34, 45, 56, 67
Percent of super shoppers 10% 42% 21% 9% 18%
For the 62-and-over group, use the midpoint 67 years.
(a) Using the age midpoints x and the percentage of super...

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