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 oil company has a large tank that holds the oil before it is distributed. If it costs $3.20 per cubic meter for oil, how much
RUDIKE [14]

Answer:

Option A, $65,280

Step-by-step explanation:

The volume of the tank is,

12×20×15+40×(50-15)×12

= 3600+16800

=20400 cubic meters

For each cubic meter, it costs $3.20, so for 20400 cubic meters it'll cost,

20400×$3.20

= $65,280

Answered by GAUTHMATH

3 0
2 years ago
Rembrandt framed his masterpiece. The painting by itself is a rectangle with length 20 \text{ cm}20 cm20, start text, space, c,
mojhsa [17]

Answer:

Step-by-step explanation:84% of a contractor’s jobs involves electrical work. 75% of a contractor’s jobs involve plumbing work. Of the jobs that involve plumbing, 90% of the jobs also involves electrical work. Let E = jobs involving electrical work L = jobs involving plumbing work Suppose one of the contractor’s jobs is randomly selected. Using the sixth Excel worksheet, a) Find P(E). 0.84 b) Find P(L). 0.75 c) In words, what does E | L mean? d) Find P(E | L). e) Find P(E and L). f) Are E and L independent events? Why or why not? g) Find P(E or L). h) Are E and L mutually exclusive? Why or why not

4 0
2 years ago
What is the y-intercept of the line shown below?<br><br>A:3/4<br>B:2<br>C:3<br>D:4​
olya-2409 [2.1K]

The y-intercept is the y value where the blue line crosses the Y axis which is the vertical black line.

The line crosses at the number 4, so the y-intercept is 4

Answer: D. 4

5 0
2 years ago
Write this decimal in a fraction in its simplest form.
sammy [17]
The simplified form of that decimal in fraction form is 3/20. Hope this helps.
5 0
3 years ago
Can u plz answer this it’s for a test !! 15&amp;16 PLZ
ss7ja [257]

Answer:

15. 6647.61

16. 553

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • A rocket is shot in the air at an initial velocity of 12,800 miles per hour. If 1 mile is equal to 5,280 feet, then what is the
    11·1 answer
  • What is the answer on the picture?
    15·1 answer
  • The class wants to raise a total of $750.
    8·1 answer
  • The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl
    13·1 answer
  • Trinity paid $3.50 in tax on a sweatshirt which cost $40. What tax rate does this represent???
    15·1 answer
  • Find the divergence of the vector field. v(x, y, z) = 2yzi + 7xzj + 6xyk div(v) = incorrect: your answer is incorrect.
    9·1 answer
  • A restaurant is open 24 hours a day. The manager wants to divide the day into work shifts equal length. The shifts should not be
    7·1 answer
  • Round off 19340 to 1 s f​
    5·1 answer
  • Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her
    12·2 answers
  • Two rooms in a house need to be painted. Each room can be painted either white or yellow
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!