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
dlinn [17]
2 years ago
6

Software filters rely heavily on ""blacklists"" (lists of known ""phishing"" URLs) to detect fraudulent e-mails. But such filter

s typically catch only 20 percent of phishing URLs. Jason receives 16 phishing e-mails. (a) What is the expected number that would be caught by such a filter? (Round your answer to 1 decimal place.) Expected number (b) What is the chance that such a filter would detect none of them? (Round your answer to 5 decimal places.) Probability
Mathematics
1 answer:
crimeas [40]2 years ago
6 0

Answer:

a) X \sim Binom(n=16, p=0.2)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The expected value is given by this formula:

E(X) = np=16*0.2=3.2

b) P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815

Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Part a

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=16, p=0.2)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The expected value is given by this formula:

E(X) = np=16*0.2=3.2

Part b

For this case we want this probability:

P(X=0)

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And using this function we got:

P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815

You might be interested in
Its all one big question
Verdich [7]

Answer:

see explanation

Step-by-step explanation:

h(x) + k(x) = x² + 1 + x - 2 = x² + x - 1

(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5

h(x) - k(x) = x² + 1 - (x - 2) = x² + 1 - x + 2 = x² -x + 3

(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9

h(2) = 2² + 1 = 4 + 1 = 5

k(3) = 3 - 2 = 1

3h(2) + 2k(3) = (3 × 5) + (2 × 1) = 15 + 2 = 17


7 0
3 years ago
Read 2 more answers
21 pointQuadrilateral QRST has diagonals that do NOT bisect each other, are congruent, and are not perpendicular. Which type of
Aleks [24]

Given:

Quadrilateral QRST has diagonals that do NOT bisect each other, are congruent and are not perpendicular.

By checking the options:

Rhombus, rectangle and the square each of them the diagonals bisect each other

So, the answer will be option 4) Isosceles Tra

8 0
1 year ago
I cant get this one, 216−(−83)+(−479)
Inessa [10]

Answer:

180

Step-by-step explanation:

=216-(-83)+(-479)

=216+83-479

=299-479

=180

7 0
3 years ago
at a sale shirts were sold for $15 each this price was 80% of their original price. What was the original price
Oliga [24]
15\x and 80\100
15 times 100=1500
1500=8x
then you divide 1500 by 80 so x is by itself
x=18.75







8 0
3 years ago
Read 2 more answers
1\10 is 1\2 of what? fraction
ExtremeBDS [4]
2/20 because if you do 1/10 + 1/10 = 2/20
6 0
2 years ago
Other questions:
  • You withdraw $29.79 from your bank account. Now your balance is $20.51. Write and solve an equation to find the amount of money i
    7·2 answers
  • Which phrase describes the algebraic expression StartFraction 7 over 8 EndFraction y minus 3?
    9·2 answers
  • Tracy solved the system of equations by making a substitution for x in the second equation.
    14·1 answer
  • Rename each decimal as a percent:
    9·1 answer
  • alexa has 233 roses to sell. mya her friend sold 334 dasies. lucas her brother has 442 boxes of cake roses how much will be left
    6·2 answers
  • Given the following similar triangles,what is the area of triangle B
    11·1 answer
  • Solve. Write the solution in interval notation. -2x>-8 and -5x<20.
    6·1 answer
  • Find the volume of the space inside the right cylinder that is not filled by the right cone below.
    6·1 answer
  • Find the surface area S of the following cylinder.
    15·1 answer
  • Jimmy invests $2000 in a money market account earning 8.5% interest compounded continuously. Which of the following is an equati
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!