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
vfiekz [6]
3 years ago
5

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.3 and P(B) = 0.7. If

an amount is zero, enter "0". What is P(A B)? What is P(A | B)? Is P(A | B) equal to P(A)? Are events A and B dependent or independent? A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate? What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

What is P(A B)?

If A and B are mutually exclusive, then  

P(AB) = P(A∩B) = P(∅) = 0

What is P(A | B)?

By definition  

<em>P(A | B) =  P(A∩B)/P(B). </em>

Since  

P(A∩B) = 0, then P(A | B) = 0

Is P(A | B) equal to P(A)?

No, because P(A | B) = 0 and P(A) = 0.3

Are events A and B dependent or independent?

A and B would be independent if

P(A | B) = P(A) and P(B | A) = P(B)

But both P(A |B) and P(B | A) equals 0 and P(A) = 0.3, P(B) = 0.7

Hence, <em>A and B are dependent. </em>

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

No, it is not.

As we already saw, A and B are mutually exclusive but they are not independent.

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

If A and B are not empty events which are mutually exclusive, they can never be independent.

You might be interested in
Draw a rectangle prism that has a surface area of 158 square yards
Triss [41]
Sorry for the sloppy drawing but this is what it will look like
I did this on Snapchat btw

5 0
3 years ago
HELP DUE IN 10 MINUTES WILL GIVE BRAINLEST!!
Pachacha [2.7K]

y-intercept: (0, 7)

x-intercept: (-\frac{7}{4},0)\\

5 0
2 years ago
Read 2 more answers
In six grade class, 3/7 of the students are boys, and 5/8 of these boys are in Ms. Jones’ class. What fraction of the entire six
Damm [24]

Think of the entire population of 6th graders here. 3/7 are boys and 4/7 are girls. 5/8 of these boys are in Ms. Jones' class; that fraction would be (5/8)(3/7), or 15/56. This 15/56 represents the fraction of the entire sixth grade class who are in Ms. Jones' class.


8 0
3 years ago
Read 2 more answers
Find the equation of the line which passes through the point
sammy [17]

Answer:

y= \frac{1}{5}x- \frac{56}{5}

Step-by-step explanation:

We want to find the equation of the line that goes through: !6,-10) and is perpendicular to the line

5x + 3y = 2y - 3

Let's simplify the equation of the line to get:

3y - 2y = - 5x + 3

y = - 5x + 3

The slope of this line is -5.

The perpendicular to this line has a slope of

\frac{1}{5}

The equation going through (6,-10) is

y=m(x-x_1)+y_1

We substitute to get;

y= \frac{1}{5} (x-6) - 10

Expand;

y= \frac{1}{5}x- \frac{6}{5}  - 10

y= \frac{1}{5}x- \frac{56}{5}

7 0
3 years ago
Two trains, Train A and Train B weigh a total of 349 tons. Train A is heavier than Train B. The difference in their weights is 2
Ainat [17]

Answer:

Train A = 299 tons Train B = 50 tons

Step-by-step explanation:
Train A = x

Train B = y

x+y = 349

x= y +249

Plug in one equation into another

y+249+y= 349

Simplify

2y+249=349

Subtract 249 from both sides

2y=100

Divide both sides by 2

y=50

Plug it into the x equation to solve for x

x+50=349

-50 from both sides

x=299

3 0
3 years ago
Other questions:
  • The number sentence is an example of which multiplican property 6 times seven (6times5) +6 times 2
    6·1 answer
  • Which of the following information is contained in the right column of a two-column proof?
    15·1 answer
  • 9864.9076×12309.775309163
    9·1 answer
  • HELP??
    5·2 answers
  • I don't know how to do it
    6·1 answer
  • 2 1/6 - (-8/3) + (-4 7/9) =
    14·1 answer
  • Which expressions are completely factored?
    11·1 answer
  • Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?
    7·2 answers
  • What is the value of x?
    10·2 answers
  • 11 × 34.12 what is it?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!