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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.

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Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = 0.8\times175000 = $140000

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Emi formula is :

\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = 30*12=360

Putting values in formula we get

\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }

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For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = 30*12=360

Putting values in formula we get

\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }

= $245.301

Adding both the monthly payments:

729.508+245.301=974.809 dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

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3 years ago
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Answer:

x=6,-4

Step-by-step explanation:

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2 years ago
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a_sh-v [17]

Let the three apartments be A, B & C

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Now

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