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
A linear function has a slope of 7/3 and crosses the y-axis at 10. What is the equation of the line?
Bas_tet [7]
Y=Mx+b (m is slope, b is y-intercept)

7 0
3 years ago
Can you put 150 177 205 163 172 190 186 168 155 in order
Eduardwww [97]
150, 155, 163, 168, 172, 177, 186, 190, 205
6 0
3 years ago
Describe the steps in solving the linear equation 3(3x − 8) = 4x + 6.
Fittoniya [83]

Answer:

x=6

Step-by-step explanation:

3(3x-8)=4x+6

First you would distribute the 3 on the L side to the parenthasies

9x-24=4x+6

Then, you would subtract 4x from both sides because it is the smallest X value

5x-24=6

Add 24 to both sides (inverse operations)

5x=30

divide both sides by 5

x=6

5 0
3 years ago
Read 2 more answers
If f(x) = 3x2 1 and g(x) = 1 – x, what is the value of (f – g)(2)? 12 14 36 38
nikdorinn [45]

Answer:

that's the answer man ur welcome btw

8 0
2 years ago
What is the prime factorization of the number 45
ohaa [14]
..........................

7 0
3 years ago
Read 2 more answers
Other questions:
  • What happens when you rotate a straight line 180 degrees?
    9·1 answer
  • An automobile maker has an order for 7,500 new cars to be delivered in one week. Each car must be fitted with a new hood ornamen
    10·2 answers
  • Kelly Jackson is an administrative assistant. She earns a weekly salary of $412.00. She applied and wad hired for an administrat
    6·1 answer
  • What is an equation of the line that is parallel to y=5x−7 and passes through (1, 11) ? Enter your equation in the box.
    12·1 answer
  • You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion
    14·1 answer
  • A bicycle tire is 28 inches in diameter. Approximately how far does the bicycle move forward each time the wheel goes around? (u
    8·1 answer
  • Consider the numbers 0, 10, 20, 30, and 40. Multiply each by 4 and compare the result to 60 to determine into which of the follo
    8·1 answer
  • ) Complete the sentence.<br> +) Omar can buy ?<br> pairs of socks.
    8·2 answers
  • Which is NOT a right triangle
    12·2 answers
  • The shape above has the following
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!