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9966 [12]
2 years ago
9

If p(a)=0.2, p(b)=0.2, and a and b are mutually exclusive, are they independent?

Mathematics
1 answer:
creativ13 [48]2 years ago
5 0

he events are not independent

<h3>How to determine if they are mutually exclusive?</h3>

The given parameters are:

P(A) = 0.2

P(B) = 0.2

The events are mutually exclusive.

So, as have

P(A or B) = P(A) + P(B)

If the events are independent, then

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = P(A) * P(B)

So, we have

P(A and B) = 0.2 + 0.2 - 0.2 - 0.2 = 0

P(A and B) = 0.2 * 0.2 = 0.04

The above equations are not equal

Hence, the events are not independent

Read more about probability at:

brainly.com/question/24756209

#SPJ1

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Answer:

The following Triangles are Right Triangles:

1.  Δ ABC Where AB = 76 in, BC = 357 in, and AC = 365 in.

2. Δ MIT Where MI = 123 cm, IT = 836 cm, and MT = 845 cm.

3. Δ MEL Where ME = 20 ft, EL = 99 ft, and ML = 101 ft.

Step-by-step explanation:

For a Triangle to be a Right Triangle it must Satisfy Pythagoras theorem.

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(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

For Δ ABC Where AB = 76 in, BC = 357 in, and AC = 365 in.

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MT² = 845² = 71405

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ML² = 101² = 10201

ME² + EL² = 20² + 99² = 10201

∴ ML² = ME² + EL²

Hence Δ MEL a Right Triangle.

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