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
sladkih [1.3K]
3 years ago
5

Professors often attempt to determine if the submissions by the students are genuine or copied off the web sources. The program

that performs this task is only 95 % accurate in correctly identifying a genuine submission and 80% accurate in correctly identifying copies. Based on the past statistics, 15% of the student turned in copied work. If a work is identified as a copy by the program, what is the probability that it is indeed a sample of copied work.
Mathematics
1 answer:
dlinn [17]3 years ago
8 0

Answer:

0.7385 = 73.85% probability that it is indeed a sample of copied work.

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: Identified as a copy

Event B: Is a copy

Probability of being identified as a copy:

80% of 15%(copy)

100 - 95 = 5% of 100 - 15 = 85%(not a copy). So

P(A) = 0.8*0.15 + 0.05*0.85 = 0.1625

Probability of being identified as a copy and being a copy.

80% of 15%. So

P(A \cap B) = 0.8*0.15 = 0.12

What is the probability that it is indeed a sample of copied work?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12}{0.1625} = 0.7385

0.7385 = 73.85% probability that it is indeed a sample of copied work.

You might be interested in
How would you express the area of the rectangle using the Distributive Property?
andreyandreev [35.5K]

Answer:

The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.

5 0
3 years ago
Read 2 more answers
A stopwatch measures time to the nearest 0.1 seconds which is the most apporpiate way to report time using this stopwatch
Snowcat [4.5K]
I would have to say that i think the answer is D. hope this helps
6 0
3 years ago
Read 2 more answers
Adam is n years old . Mary Beth is 3n + 4 years old . If Adam is 9 years old, how old is Mary Beth?
Rzqust [24]

Answer: Brailiest plz?

31

Step-by-step explanation:

(3)(9)+4=31

7 0
3 years ago
Denominator of the fraction
Law Incorporation [45]

Answer:

Denominator for 2/5 is 5, and denominator for 13/16 is 16.

7 0
2 years ago
Peter uses unit cubes to build a figure in the shape of letterX.What is the fewest unit cubes that Peter can use to build the fi
scZoUnD [109]
5 unit cubes you would put them corner to corner like this:
X. X
X
<span>X. X

Hope this helps!</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • The student body of a large university consists of 65% female students. a random sample of 8 students is selected. what is the p
    12·1 answer
  • How many solutions does y=5x+12 and y=5x+18
    10·2 answers
  • What is the slope of the line?​
    6·2 answers
  • Researchers measured skulls from different time periods in an attempt to determine whether interbreeding of cultures occurred. R
    6·1 answer
  • $35,200 at 2% for 2 years
    13·2 answers
  • Which is the solution set of the compound inequality 3.5 x minus 10 greater-than negative 3 and 8 x minus 9 less-than 39
    7·1 answer
  • Need all answers for 1, 2, 3, 4 , 5. Who ever answers them first will be mark brainliest!
    15·1 answer
  • Lol help pleaseeeeeeee
    9·2 answers
  • Elsie has two bags, each containing x counters. Write an expression for the total number of counters Elsie has.​
    10·1 answer
  • You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!