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snow_tiger [21]
3 years ago
9

Given the following sets.

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

A = {0, 1, 2, 3}

C = {0, a, 2, b}

A ∩ C = {0, 2} → E)

A set of the same elements from the set A and the set C.

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If P(A) = 0.25, P(B) = 0.60 and P(A and B) = 0.15, are the event A and B independent? Explain/show work.
babymother [125]

Answer:

event A and B are independent because  P(A and B)  = P(A) x P(B) = 0.15

Step-by-step explanation:

When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;

P(A and B)  = P(A) x P(B)

Given;

P(A) =  0.25

P(B) = 0.60

P(A and B) = 0.15

Now, let's check if  P(A and B) will be equal to P(A) x P(B)

P(A) x P(B) =  0.25 x 0.60 = 0.15

P(A and B)  = P(A) x P(B), thus event A and B are independent.

7 0
3 years ago
Select the domain and range of F. F = {(x, y ) | x + y = 10}. Domain: {10} Range: {10} Set F is not a function and does not cont
MissTica

Answer:

Domain is all Real Numbers and the Range is all Real Numbers.

Step-by-step explanation:

It is a function.

The graph of this function is a straight line passing  through the x axis at (10,0) and the y-axis at  (0,10). The line  continues to the left and right without bounds.

So the Domain is all Real Numbers and the Range is all Real Numbers.

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Step-by-step explanation:

2 divided by 1.60=$1.25

3 divided by 2.40= $1.25

5 divided by 4.00= $1.25

8 divided by 6.40 = $1.25

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