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klio [65]
3 years ago
8

PROBABILITY DISTRIBUTIONS?? Do anyone know how to find probabilities??​

Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Probability of more than 3 = 0.25

Solution:

Given table shows the pitches, frequency and probability of pitches.

P(x = 1) = 0.15, P(x = 2) = 0.2, P(x = 3) = 0.4, P(x = 4) = 0.15, P(x = 5) = 0.1

To find the probability that the pitcher will throw more than 3 pitches.

Probability of more than 3 pitches = P(x > 3)

                                                         = P(x = 4) + P(x = 5)

                                                         = 0.15 + 0.1

                                                         = 0.25

                                            P(x > 3) = 0.25

Hence the probability that the pitcher will throw more than 3 pitches to a batter is 0.25.

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The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?
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4 years ago
Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.
coldgirl [10]

Answer:

The answer is given below

Step-by-step explanation:

From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.

The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠BYZ and ∠DZY are interior angles.

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∠BYZ/2 + ∠DZY/2 = 180/2

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In ΔOYZ:

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But  ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180

90 + ∠YOZ = 180

∠YOZ = 180 - 90

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Therefore Angle bisectors of the same side interior angles are perpendicular.

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Step-by-step explanation:

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