Solved on Mar 01, 2024

Find the probability that a randomly chosen resident with a master's degree is aged 50 or over, rounded to the nearest thousandth.

STEP 1

Assumptions
1. The table represents the highest educational attainment of all adult residents in a certain town.
2. We are interested in the probability of a resident with a master's degree being aged 50 or over.
3. The total number of residents with a master's degree is given in the table.
4. The number of residents with a master's degree aged 50 or over is given in the table.

STEP 2

First, we need to identify the total number of residents with a master's degree, which is the sum of residents with a master's degree across all age groups.

STEP 3

From the table, we find the total number of residents with a master's degree.
$Total\, residents\, with\, Master's\, degree = 3143$

STEP 4

Next, we need to identify the number of residents with a master's degree who are aged 50 or over.

STEP 5

From the table, we find the number of residents with a master's degree aged 50 or over.
$Residents\, with\, Master's\, degree\, aged\, 50\, or\, over = 1375$

STEP 6

Now, we can calculate the probability that a resident with a master's degree is aged 50 or over by dividing the number of residents with a master's degree aged 50 or over by the total number of residents with a master's degree.
$Probability = \frac{Residents\, with\, Master's\, degree\, aged\, 50\, or\, over}{Total\, residents\, with\, Master's\, degree}$

STEP 7

Plug in the values to calculate the probability.
$Probability = \frac{1375}{3143}$

STEP 8

Calculate the probability.
$Probability = \frac{1375}{3143} \approx 0.4374$

STEP 9

Round the probability to the nearest thousandth.
$Probability \approx 0.437$
The probability that a resident with a master's degree is aged 50 or over is approximately 0.437.

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Find the probability that a randomly chosen resident with a master's degree is aged 50 or over, rounded to the nearest thousandth.

STEP 1

STEP 2

First, we need to identify the total number of residents with a master's degree, which is the sum of residents with a master's degree across all age groups.

STEP 3

From the table, we find the total number of residents with a master's degree.
$Total\, residents\, with\, Master's\, degree = 3143$

STEP 4

Next, we need to identify the number of residents with a master's degree who are aged 50 or over.

STEP 5

From the table, we find the number of residents with a master's degree aged 50 or over.
$Residents\, with\, Master's\, degree\, aged\, 50\, or\, over = 1375$

STEP 6

STEP 7

Plug in the values to calculate the probability.
$Probability = \frac{1375}{3143}$

STEP 8

Calculate the probability.
$Probability = \frac{1375}{3143} \approx 0.4374$

STEP 9

Round the probability to the nearest thousandth.
$Probability \approx 0.437$
The probability that a resident with a master's degree is aged 50 or over is approximately 0.437.

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Find the probability that a randomly chosen resident with a master's degree is aged 50 or over, rounded to the nearest thousandth.

STEP 1

STEP 2

First, we need to identify the total number of residents with a master's degree, which is the sum of residents with a master's degree across all age groups.

STEP 3

From the table, we find the total number of residents with a master's degree.Total residents with Master′s degree=3143Total\, residents\, with\, Master's\, degree = 3143TotalresidentswithMaster′sdegree=3143

STEP 4

Next, we need to identify the number of residents with a master's degree who are aged 50 or over.

STEP 5

From the table, we find the number of residents with a master's degree aged 50 or over.Residents with Master′s degree aged 50 or over=1375Residents\, with\, Master's\, degree\, aged\, 50\, or\, over = 1375ResidentswithMaster′sdegreeaged50orover=1375

STEP 6

STEP 7

Plug in the values to calculate the probability.Probability=13753143Probability = \frac{1375}{3143}Probability=31431375​

STEP 8

Calculate the probability.Probability=13753143≈0.4374Probability = \frac{1375}{3143} \approx 0.4374Probability=31431375​≈0.4374

STEP 9

Round the probability to the nearest thousandth.Probability≈0.437Probability \approx 0.437Probability≈0.437The probability that a resident with a master's degree is aged 50 or over is approximately 0.437.

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From the table, we find the total number of residents with a master's degree.
$Total\, residents\, with\, Master's\, degree = 3143$

From the table, we find the number of residents with a master's degree aged 50 or over.
$Residents\, with\, Master's\, degree\, aged\, 50\, or\, over = 1375$

Plug in the values to calculate the probability.
$Probability = \frac{1375}{3143}$

Calculate the probability.
$Probability = \frac{1375}{3143} \approx 0.4374$

Round the probability to the nearest thousandth.
$Probability \approx 0.437$
The probability that a resident with a master's degree is aged 50 or over is approximately 0.437.