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
Kyle has 1 3 of a gallon of apple juice. If he divides the apple juice into 5 equal servings, how much apple juice will he have
valkas [14]
He would be serving 2.5 gallons each.
3 0
3 years ago
Write the digit in the ten thousands place
mars1129 [50]
For now I don't know the answer to this problem of yours.
8 0
3 years ago
The map below shows the path that Jin walked this morning. According to his pedometer, the total distance of this path was 2.3 k
max2010maxim [7]

Answer:

5 centimetres = 1 kilometre

Step-by-step explanation:

First add up the distances measured on the map.

1.1+4.8+2.2+3.4=11.5 cm

Based on this, since the number of cm is greater than the number of km, we can figure out that each cm should not be multiplied to get the km, so we can eliminate the first two answers.

Next write an equation to represent finding the scale

x=scale

11.5=2.3x

Now solve for the scale

11.5/2.3=2.3x/2.3

5=x

Therefore the scale is 5 centimetres = 1 kilometre

6 0
3 years ago
2/5 of the students at a certain school play sports. Of those students, about 1/4 play basketball. What portion of the student b
ICE Princess25 [194]
1/10. EXPLANATION: if you take 2/5 and change it to the equivalent fraction 4/10. you can easily find 1/4 of that. 1/10 is your answer. HAVE A NICE DAY!
5 0
3 years ago
Read 2 more answers
How to rename 3/12<br> I forgot
Kobotan [32]
0.25 is 3/12 simplified
8 0
3 years ago
Read 2 more answers
Other questions:
  • Jake earned 10.44 interest on his savings account for an 18 month period. What was the average amount of interest jake earned on
    12·1 answer
  • Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time X
    15·1 answer
  • My friend and I are confused.
    9·1 answer
  • Why does the PCI require banks to protect customers’ card data?
    15·2 answers
  • If Candler and oteen are 3 1/2 inch apart on the map, what is the actual distance between candler and oteen in miles
    15·1 answer
  • What value of x is in the solution set of 3(x-4) &gt; 5x + 2?
    10·1 answer
  • Two complimentary angles are in the ratio 4:5 . find the angle
    5·2 answers
  • Can someone please answer my question for real please. I’ll give extra points
    10·1 answer
  • I need help with my rsm hwrk pls help me
    13·1 answer
  • What is dehydrogenation ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!