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
In-s [12.5K]
2 years ago
14

According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is

a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student
Mathematics
1 answer:
murzikaleks [220]2 years ago
5 0

Answer:

0.0326 = 3.26% probability that she is a student.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Woman developer

Event B: Student

Probability that the developer is a woman:

7.4% of 25.8%(students).

76.4% of 100 - 25.8 = 74.2%(not students). So

P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598

Student and woman developer.

7.4% of 25.8%(students), so

P(A \cap B) = 0.074*0.258 = 0.019092

If we encounter a woman developer, what is the probability that she is a student

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326

0.0326 = 3.26% probability that she is a student.

You might be interested in
Plz help on this problem you guys!!!
shutvik [7]
The answer is the 15
3 0
3 years ago
Solve (x^2+2xy+y^2)(X+1)<br><br> Show steps
AleksandrR [38]

Answer:

\large\boxed{x^3+x^2+2x^2y+2xy+xy^2+y^2}

Step-by-step explanation:

Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>

<em />

(x^2+2xy+y^2)(x+1)\\\\=(x^2)(x)+(x^2)(1)+(2xy)(x)+(2xy)(1)+(y^2)(x)+(y^2)(1)\\\\=x^3+x^2+2x^2y+2xy+xy^2+y^2

4 0
3 years ago
Studies have suggusted that twins, in their early years, tend to have lower IQs and pick up language more slowly than non-twins.
Anna007 [38]

Answer:

Confidence interval: (21.9, 32.9).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 26 - 1 = 25

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.485

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.485\frac{11.2}{\sqrt{26}} = 5.5

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 27.4 - 5.5 = 21.9 hours

The upper end of the interval is the sample mean added to M. So it is 27.4 + 5.5 = 32.9 hours

Confidence interval: (21.9, 32.9).

5 0
3 years ago
The graphs of f(x) =2/3x and g(x) =2/3x-2 are shown below.
4vir4ik [10]

Y1=2/3x , Y2=2/3x-2

those are the graph of the functions

3 0
3 years ago
(HElP) which answers describe the shape below?
-BARSIC- [3]
Square and quadrilateral!
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is most likely the length of a telephone book
    9·1 answer
  • What is the slope of the line described by the equation below y= 3x-6 A. (0,-6) B. (0,-3) C. (0,6) D. (0,3)
    14·2 answers
  • Use the distributive property to remove the parentheses. −6(−y+3v−5)
    6·2 answers
  • jordans dog weighs pounds emmett's dog weighs 25% more than.jordan's.dog which expressions represent the weight in of emmett's d
    8·2 answers
  • 15% 0f ______ is 12?
    15·1 answer
  • I'm in need of help!
    11·1 answer
  • Jessica bought 1/2 pound of roast beef and 5/6 pound of ham. Which pairs of fractions are equivalent to the amounts Jessica boug
    14·2 answers
  • A sample of 14001400 computer chips revealed that 311% of the chips do not fail in the first 10001000 hours of their use. The co
    15·1 answer
  • You spin the spinner once.<br><br> What is P(greater than 6)?
    13·1 answer
  • Which of the following angles has a reference angle of pi/12
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!