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
alexdok [17]
3 years ago
9

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a gi

ven day, 20 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable, what is the probability that two or more online retail orders will turn out to be fraudulent
Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{20}{k}\cdot0.08^k\cdot0.92^{20-k}

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

P(x\geq2)=1-[P(x=0)+P(x=1)]\\\\\\P(x=0)=\dbinom{20}{0}\cdot0.08^{0}\cdot0.92^{20}=1\cdot1\cdot0.189=0.189\\\\\\P(x=1)=\dbinom{20}{1}\cdot0.08^{1}\cdot0.92^{19}=20\cdot0.08\cdot0.205=0.328\\\\\\\\P(x\geq2)=1-[0.189+0.328]\\\\P(x\geq2)=1-0.517=0.483

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

You might be interested in
What is the area of the square below ?
ivolga24 [154]
To find the are of a square, we simply square the value of a side
so..
{5}^{2} = area
Area = 25 square units
6 0
3 years ago
1 1/4ft = ______________ yd hurry!
Ymorist [56]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the LCM of 4 and 18
Verizon [17]

Answer:

36

Explanation:

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...

Multiples of 18 are:

18, 36, 54, 72, 90, 108, 126, 144,...

The least common multiple of 4 and 18 is 36.

4 0
1 year ago
If 0.5x-3=2-0.75x then 2x =?
Anvisha [2.4K]

Answer:

8

Step-by-step explanation:

Step 1:

0.5x - 3 = 2 - 0.75x  Equation

Step 2:

1.25x - 3 = 2     Add 0.75x on both sides

Step 3:

1.25x = 5     Add 3 on both sides

Step 4:

5 ÷ 1.25  Divide

Step 5:

x = 4  Solution to x

Step 6:

2 × 4    Multiply to find answer of 2x

Answer:

2x = 8

Hope This Helps :)

5 0
3 years ago
What is (f⋅g)(x)? f(x)=x3−4x+2 g(x)=x2+2 Enter your answer in the box. (f⋅g)(x)=
777dan777 [17]

Answer: x^{6} + 6x^{4} + 8x^{2} + 2

Step-by-step explanation:

f(x) = x^{3} - 4x + 2

g(x) = x^{2} + 2

To find fg(x) , we have

fg(x) = f( x^{2} + 2 )

The next thing is that , we will substitute  x^{2} + 2 for the value of x in f(x) , so we have:

(x^{2}+2) ^{3} - 4( x^{2} + 2) + 2

which will give

x^{6} + 6x^{4} + 8x^{2} + 2

Therefore :

fg(x) = x^{6} + 6x^{4} + 8x^{2} + 2

7 0
3 years ago
Other questions:
  • 5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the flo
    7·1 answer
  • The value of a car is inversely proportional to its age. if a car is worth ​$49004900 when it is 55 years​ old, how old will it
    15·1 answer
  • A circle has a radius of length r. If you mark off an arc on the circle of length 3r. What is the measurment of of the angkebtha
    12·2 answers
  • Help. The problem is in the picture
    9·1 answer
  • A locker combination contains four digits. Each digit can be from 0 through 9. What is the probability that a 4-digit combinatio
    6·2 answers
  • Why is the product of a rational number and an irrational number Irrational?
    13·2 answers
  • A rectangular block of material is on your dad’s desk that acts as a paperweight. The measurements are 3 cm times 4 cm times 6 c
    8·1 answer
  • At the local bakery, Ariel bought 2 oatmeal cookies for $1.50. Mei bought 12 dozen oatmeal cookies for $4.50.
    5·1 answer
  • Which of the following statements must be true based on the diagram below? Select
    14·1 answer
  • 100 POINTS IF U GET THIS RIGHT!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!