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
adoni [48]
3 years ago
10

Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f

ound that 3% of the legitimate users originate calls from two or more metropolitan areas in a single day. However, 30% of fraudulent users originate calls from two or more metropolitan areas in a single day. The proportion of fraudulent users is 0.0131%. If the same user originates calls from two or more metropolitan areas in a single day, what is the probability that the user is fraudulent? Round your answer to six decimal places (e.g. 98.765432).
Mathematics
1 answer:
pashok25 [27]3 years ago
6 0

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas  = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁)  = 0.999869

P(A/E₁) = 3%  = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}

=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}

\frac{0.2999607}{0.00000393+0.2999607}

\frac{0.2999607}{0.29996463}

= 0.999986898 ≈ 0.999987

You might be interested in
A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that
Lana71 [14]
M=rise over run
27 over 36 in lowest terms
Or 27/36
4 0
3 years ago
It's dark. You have ten grey socks and ten blue socks you want to put into pairs. All socks are exactly the same except for thei
Andreas93 [3]
I would say about 5-7 socks
8 0
3 years ago
Read 2 more answers
What is 3852 divided by 16
Annette [7]
240.75, hope this helps!
3 0
3 years ago
Yesterday, there were 55 problems assigned for math homework. Denelle got 33 problems correct and 22 problems incorrect. What pe
iren [92.7K]

Answer:

60%

Step-by-step explanation:

33/55, giving you 60%.

4 0
3 years ago
britney has a secret number.if you subtract her numberfrom 16,the aswer is the same when you substract 4 from 12.what is britney
Nina [5.8K]
Britnes's secret number is 24

3 0
3 years ago
Read 2 more answers
Other questions:
  • Caleb made a scale drawing of a neighborhood park. The scale of the drawing was
    5·1 answer
  • 14Q + 3T = 100 T = 2Q
    14·1 answer
  • X − 6 = 63 − 10(x + 8)
    7·2 answers
  • The lodge at the Three Lakes Resort is offering the following two options for a holiday weekend.
    13·1 answer
  • In which quadrant will the triangle be located after this series of transformations? Does the size of the triangle change after
    5·1 answer
  • 8-35. Use your knowledge of polygons to answer the questions below, if possible.
    12·1 answer
  • The perimeter of a square is directly proportional to the length of one of its sides. The perimeter is 28 when the length of a s
    6·1 answer
  • Which math operation determines the following recursive sequence!
    7·2 answers
  • What number is a multiple of 4 and 6 but also a multiple of 3 and 5?
    9·2 answers
  • Rewrite the following expression 9(6+7n)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!