Question

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. Yes. The events are distinct and the probabilities do not sum to 1. Yes. The events are distinct and the probabilities sum to 1. No. The events are indistinct and the probabilities sum to 1. No. The events are indistinct and the probabilities do not sum to 1. (b) Use a histogram to graph the probability distribution in part (a). Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot (c) Find the probability that a British nurse selected at random in 1851 would be 60 years of age or older. (Round your answer to three decimal places.) (d) Compute the expected age μ of a British nurse contemporary to Florence Nightingale. (Round your answer to two decimal places.) yr (e) Compute the standard deviation σ for ages of nurses shown in the distribution. (Round your answer to two decimal places.) yr

Answer #1

Yes. The events are distinct and the probabilities sum to 1.

b)

c)

probability that a British nurse selected at random in 1851 would be 60 years of age or older

=0.2480+0.097+0.0150 =0.3600

d)

x | P(X=x) | xP(x) |
x^{2}P(x) |

24.5 | 0.0540 | 1.32300 | 32.41350 |

34.5 | 0.0950 | 3.27750 | 113.07375 |

44.5 | 0.1990 | 8.85550 | 394.06975 |

54.5 | 0.2920 | 15.91400 | 867.31300 |

64.5 | 0.2480 | 15.99600 | 1031.74200 |

74.5 | 0.0970 | 7.22650 | 538.37425 |

84.5 | 0.0150 | 1.26750 | 107.10375 |

total | 53.8600 | 3084.0900 | |

E(x) =μ= | ΣxP(x) = | 53.8600 | |

E(x^{2}) = |
Σx^{2}P(x) = |
3084.0900 | |

Var(x)=σ^{2} = |
E(x^{2})-(E(x))^{2}= |
183.190400 | |

std deviation= |
σ= √σ^{2} = |
13.53478 |

expected age μ =53.86

e)

standard deviation σ =13.53

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
5.8%
9.3%
19.9%
29.4%
25.2%
8.8%
1.6%
(d) Compute the expected age μ of a British nurse contemporary
to Florence Nightingale. (Round your answer to two...

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
5.9%
9.6%
19.4%
29.5%
24.9%
8.7%
2.0%
(c) Find the probability that a British nurse selected at random
in 1851 would be 60 years of age or older. (Round your answer to
three decimal places.)
(d) Compute the expected age μ of a British nurse contemporary to
Florence Nightingale. (Round your answer to two decimal
places.)
yr
(e)...

What is the income distribution of super 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. In the
following table, income units are in thousands of dollars, and each
interval goes up to but does not include the given high value. The
midpoints are given to the nearest thousand dollars. Income range
5-15 15-25 25-35 35-45 45-55 55 or more Midpoint x...

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...

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...

What is the income distribution of super 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. In the
following table, income units are in thousands of dollars, and each
interval goes up to but does not include the given high value. The
midpoints are given to the nearest thousand dollars.
Income range
5-15
15-25
25-35
35-45
45-55
55 or more
Midpoint
x...

What is the income distribution of super 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. In the following table, income units are in thousands of
dollars, and each interval goes up to but does not include the
given high value. The midpoints are given to the nearest thousand
dollars.
Income range
5-15
15-25
25-35
35-45
45-55
55 or more
Midpoint
x...

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
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 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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 3 minutes ago

asked 3 minutes ago

asked 9 minutes ago

asked 9 minutes ago

asked 13 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 18 minutes ago

asked 20 minutes ago

asked 37 minutes ago

asked 40 minutes ago