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disa [49]
3 years ago
6

Which of the following is an example of independent events?

Mathematics
1 answer:
Zolol [24]3 years ago
3 0
The correct answer is Choice B because each of these events are separate items.  Each of the others choices will have a part of the additional events that are affected by the first event.  When the first event happens in each of these options, the second event's probability is affected by the first outcome.  The number of total outcomes changes because of the first event in all choices, except for choice B.
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Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter
sweet [91]

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.

4 0
3 years ago
What is the y intercept?
Naddika [18.5K]

Answer:

y int is 20

slope = 2

equation: y = 2x + 20

7 0
2 years ago
PLS HELP HURRY NEED rigGHT ANWSER
Alex787 [66]

Answer:

(3, -4)

Step-by-step explanation:

Lines are intersecting at points (3, -4).

So, the solution of the given system of equations is (3, -4).

Hope it helps you in your learning process.

4 0
2 years ago
Find three consecutive odd integers such that the sum of 7 times the smallest and twice the largest is -91.
ollegr [7]
Find three consecutive odd integral such that the sum of seven times the smallest and twice the largest is -91
3 0
2 years ago
The ven diagram below is used for showing odd numbers and prime numbers place the numbers 1,2,3,4 and 5 in the ven diagram
kramer

It is right I made this in venn diagram . sorry for poor picture quality

8 0
2 years ago
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