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
AURORKA [14]
3 years ago
15

Based on experience, the probability that an incoming email is spam (an undesired message of solicitation) is 38%. If three emai

ls are in my inbox, what is the probability that:A. All three messages are spam.B. At least one of the three messages are spam.C. None of the three messages are spam.
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0

Answer:

0.0549

0.7617

0.2383

Step-by-step explanation:

Given that:

Probability that incoming email is spam ;

P(spam) = 0.38

If three emails are in my inbox, what is the probability that:

A. All three messages are spam.

P(1st message being spam) * p(second message being spam) * p(3rd message being spam)

= (0.38) * (0.38) * (0.38)

= 0.054872

= 0.0549

B. At least one of the three messages are spam.

1 - p(none of the 3 messages are spam)

P(none of the 3 messages are spam)

P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62

1 - [P(not spam) * p(not spam) * p(not spam)]

1 - (0.62 * 0.62 * 0.62)

= 1 - 0.238328

= 0.761672

= 0.7617

C. None of the three messages are spam.

P(not spam) = 1 - p(spam) = 1 - 0.38 = 0.62

P(not spam) * p(not spam) * p(not spam)

(0.62 * 0.62 * 0.62)

= 0.238328

= 0.2383

You might be interested in
The rugby club had 30 members last year. This year the rugby club has 36 members. By what percentage did the numbers of members
Shkiper50 [21]
30/6=5
1/5 of 100=20%
it increased by 20%
3 0
3 years ago
Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?
vekshin1

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt.  Here,

i = ($1,450)(0.04)(2 yr) = $116

3 0
3 years ago
Solve the inequality for x. Show each step of the solution. 10x>8(3x-2)-12
Anettt [7]

Answer:

x < 2

Step-by-step explanation:

Given

10x > 8(3x - 2) - 12 ← distribute parenthesis on right side

10x > 24x - 16 - 12, that is

10x > 24x - 28 ( subtract 24x from both sides )

- 14x > - 28

Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.

x < 2

8 0
3 years ago
Find the area of a circle with a circumference of 6.28 unitesz
Anni [7]

Answer:

3.14 square units

Step-by-step explanation:

Circumference of a circle = 2πr

2πr = 6.28

r = 6.28/2π

r = 3.142/π

Area of a circle = πr^2

slot in the value of r

Area of the circle = π( 3.142/π)^2

               "              = π(9.87/ π^2)

                "             = 9.87/π

π = 3.14

Area of a circle = 9.867/ (3.14)

              "            = 3.14 square units

                     

8 0
3 years ago
What is 4 to the power of x minus 3 =18
mote1985 [20]
3 to the power of 4:

=34
x
n
=
3
4

=3⋅3⋅3⋅3
=
3
⋅
3
⋅
3
⋅
3

=81
=
81

For example, 3 to the power of -4:

=3−4
x
n
=
3
−
4

=134
=
1
3
4

=13⋅3⋅3⋅3
=
1
3
⋅
3
⋅
3
⋅
3

=181
=
1
81

=0.012346
7 0
2 years ago
Other questions:
  • Jenny's handspan is 16 cm.
    5·1 answer
  • What number does y stand for in this equation?
    9·2 answers
  • What is the solution set for 5x−5=15 , given the replacement set {0, 1, 2, 3, 4} ?
    7·2 answers
  • Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins th
    15·2 answers
  • Which statement describes the graph of the number of apples in the bag?
    13·1 answer
  • Solve |-3d | =15 please lol
    13·1 answer
  • Simply <br><br> 1/2-3(1/2+1)^2<br><br> Enter your answer,as a simplified fraction, in the box
    7·1 answer
  • A wedding planner uses 72 ivy stems for 18 centerpieces. When she arrives at the venue, she realizes she will only need 16 cente
    5·2 answers
  • at the local pizza Parlor Game tickets can be trader for small toys. The rate is 10 tickets for 4 a small toys. If Meg 155 ticke
    8·1 answer
  • What is the answer I have to type in the yellow boxes?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!