1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aniked [119]
2 years ago
15

A manager (who happens to be a white Anglo) is responsible for hiring personnel in her department. She is accurate 95% of the ti

me in assessing the qualifications of white Anglo candidates (that is, 95% of the candidates who are qualified she assesses as qualified and 95% of the candidates who are unqualified she assesses as unqualified). She is accurate only 80% of the time for candidates of color. She hires candidates (they then become employees) that she assesses as qualified. In the pool of candidates, 60% of white Anglo candidates and 60% of candidates of color are qualified.(1) what proportion of white Agnlo hirees are qualified?(2) what proportion of the person of color who are hired are qualified?
Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
7 0

Answer:

(a) The proportion of qualified anglo candidates hired is 96.6%.

(b) The proportion of qualified persons of color candidates hired is 85.7%.

Step-by-step explanation:

For the anglo candidates, the manager will hire two groups:

Group 1: the ones that are qualified and she assess correctly

Group 2: the ones that are not qualified but she does not assess correctly

If we consider a group of 100 Anglo candidates, 60 are qualified. The probability that they are in the Group 1 is:

P(G_1)=P(qualified=yes)*P(assess=right) = 0.6*0.95=0.57

The probability of being in Group 2 is

P(G_2)=P(qualified=no)*P(assess=wrong) =0.4*0.05= 0.02\\

The proportion of qualified anglo candidates hired is equal to the probability of being in Group 1, over the sum of the probabilities of being in Group 1 and 2:

P(qualified=yes;hired=yes)=\frac{P(G_1)}{P(G_1)+P(G_2)} =\frac{0.57}{0.57+0.02}\\ \\P(qualified=yes;hired=yes)=\frac{0.57}{0.59}= 0.966

The proportion of qualified anglo candidates hired is 96.6%.

For the people of color is the same analysis, but the probabilities of assessment are different.

Group 1: the ones that are qualified and she assess correctly

Group 2: the ones that are not qualified but she does not assess correctly

If we consider a group of 100 non-Anglo candidates, 60 are qualified. The probability that they are in the Group 1 is:

P(G_1)=P(qualified=yes)*P(assess=right) = 0.6*0.8=0.48

The probability of being in Group 2 is

P(G_2)=P(qualified=no)*P(assess=wrong) =0.4*0.2= 0.08\\

The proportion of qualified anglo candidates hired is equal to the probability of being in Group 1, over the sum of the probabilities of being in Group 1 and 2:

P(qualified=yes;hired=yes)=\frac{P(G_1)}{P(G_1)+P(G_2)} =\frac{0.48}{0.48+0.08}\\ \\P(qualified=yes;hired=yes)=\frac{0.48}{0.56}= 0.857

The proportion of qualified persons of color candidates hired is 85.7%.

You might be interested in
Hellllllllllllllp. this scale drawing of a desktop
Kruka [31]
So the since the length of the longer side is 45inches we know that the longer table is 5 times as larger than the small desktop. And we know 6 x 5 = 30.
So 45x30= 1,350 so the answer is 1,350 square inches! :)
6 0
3 years ago
Read 2 more answers
An amusement park offers ride tickets for $1.50 each to customers who buy the quantities of tickets indicated in the picture of
lara [203]
D. Customer who buy at least 25 tickets will pay $1.50 each
5 0
2 years ago
The same architect wants to draw a room that has an area of 175 ft². What will be the area of the room in his drawing in square
Dominik [7]

Answer:

25,200in²

Step-by-step explanation:

The architect wants to draw a room that has an area of 175 ft². We need to find this measurement in square inches.

<u>Square feet and square inches are different from feet and inches. </u>

We should know that a square foot is 144 square inches.

Multiply 175 * 144.

175 * 144=25200

So the same architect wants to draw a room that should have an area of 25,200in².

<em>Brainilest Appreciated. </em>

3 0
3 years ago
Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin
ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = \frac{5}{2} x - \frac{25}{2}

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

  • Same slopes
  • Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + \frac{5}{2} x

∴ y =  \frac{5}{2} x - 5

- The value of m is the coefficient of x

∴ m = \frac{5}{2}

∴ The slope of the given line is \frac{5}{2}

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = \frac{5}{2}

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = \frac{5}{2} x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = \frac{5}{2} (3) + b

∴ -5 = \frac{15}{2} + b

- Subtract \frac{15}{2} from both sides

∴ b = \frac{-25}{2}

∴ The equation of the parallel line is y = \frac{5}{2} x + \frac{-25}{2}

∴ The equation of the parallel line is y = \frac{5}{2} x - \frac{25}{2}

The equation of the parallel line in slope-intercept form is;

y = \frac{5}{2} x - \frac{25}{2}

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0
3 years ago
Is the square root of 2 between 1.3 and 1.4? how do you know!
anastassius [24]
<span>Find the square root of 2 between 1.3 and 1.4
=> Square root of 2 is 1.4
Square root is a number that is multiplied twice like x2, y2
=> 1.4 is the square root of 2
Now, let’s check if we got the correct answer:
=> 1.4 * 1.4
=> 1.96 or rounded to 2
Notice that the square root of 2 is a decimal number, this is called  not perfect squares.
Perfect square root are those with whole numbers answers.


</span>



4 0
3 years ago
Other questions:
  • The product of twice a number and two is the same as the difference of three times the number and 1/2. find the number.
    5·1 answer
  • Orden the Numbers 3/10, 1/5, 0.25 from last yo greatest
    13·2 answers
  • walmart sells the bike he likes for 350 dollars Walmart had the bike on sell for 30% off what is the cost of the bike at Walmart
    5·2 answers
  • What does a double line inside the walls of a shape mean?
    7·2 answers
  • There are two main brands of ultrasonic humidifiers. Suppose a simple random sample of 125 humidifiers is selected from each bra
    7·1 answer
  • Can you answer this please
    14·2 answers
  • A company that produces fine crystal knows from experience that 17% of its goblets have cosmetic flaws and must be classified as
    6·1 answer
  • For:<br> 9 times the sum of 9b and 2
    15·1 answer
  • How do I solve this ?
    8·2 answers
  • So i figured out the first but I don't know the rest please help?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!