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
Sergio [31]
3 years ago
9

Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter

"". a. What is ? b. What is ? c. 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. Do you agree with this statement? Use the probability information in this problem to justify your answer. - Select your answer - , because - Select your answer - . d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem? - Select your answer -
Mathematics
1 answer:
sweet [91]3 years ago
4 0

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and 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?

Solution:

The probability of the two events <em>A</em> and <em>B</em> are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

P(A\cap B)=0

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, P(A\cap B)=0.

Events A and B are independent  if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, P(A\cap B)=P(A)\times P(B).

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that P(A\cap B)=0.

Now compute the value of P(A)\times P(B) as follows:

               P(A)\times P(B)=0.30\times 0.40=0.12\neq 0

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

You might be interested in
17 please help me......................
Vaselesa [24]
I think its (6.5+3.25)÷0.2=48.75

dont quote me on that, I tried and I'm not the best at math lol.
(6.5 + 3.25) \div 0.2
8 0
3 years ago
Gollum eats fish on alternate days.How often doea he eat fish on a Monday?
VikaD [51]
He eats fish every other Monday
4 0
3 years ago
Read 2 more answers
Vivian has a 550 page book on folk tales . If she reads 9 pages everyday before falling asleep . how many days will it take her
zepelin [54]

Answer:

62 days

Step-by-step explanation:

Given that she reads 9 pages everyday before falling asleep. Then, on day one, she would read 9m pages.

On day 2, she would read another 9 pages, making 18 pages after 2 days. If she will finish the book in x days then

x = 550/9

=61 1/9 days

Converting the 1/9 into a day then, she will finish the book in 62 days, reading just a page on the 62nd day.

5 0
3 years ago
4. Given that 3(x - 1) - 2(x - 1) = 7 the value of x is A. 6 B. 7 C. 8 D. 9​
KatRina [158]

Answer: The answer is 8

Step-by-step explanation: Took the test and got 100

4 0
2 years ago
If anyone could help that would be great. Ty. 1) y=-81-4 4 12​
Rainbow [258]

Answer:

j

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Write an<br> integer for this situation: I deposited 25 dollars into my bank account.<br> dollars
    10·1 answer
  • Can someone please help me with this question?
    6·1 answer
  • What multiplied by 3 equals 15 but added by 3 equals 18
    10·2 answers
  • There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp
    13·1 answer
  • How do I find the area ASAP
    6·1 answer
  • Question 2<br> Find the sale price to the nearest cent(hun<br> $72 game; 20% discount
    14·1 answer
  • I WILL GIVE U BRIANLIEST THING!!!
    10·2 answers
  • 10.Last week Dirk and his roommates ate of a carton of yogurt, and this week they ate 3% of a carton. How much more yogurt did t
    9·1 answer
  • Jorge gives an equal number of marbles to 6 friends. Which could be the total number of marbles he gave to his friends? (Answer
    5·2 answers
  • Which graph correctly represents the relationship between arc length and the measure of the corresponding central angle on a cir
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!