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Scott Disick is known for his club scene. Although he is optimistic about the nightlife in Philly, he is more of a NYC guy when he is in the East Coast. He is concerned about the overall quality of the nightlife. He believes the probability is 0.50 that the scene will be excellent, 0.20 that it is average and 0.30 that the scene will not be up to his standards. He also estimates that the probability of Leo Di Caprio coming in an excellent scene will be 0.7, the probability of him coming at an average setting it is 0.3 and the probability that it will not be up this standards at .2 List out the probabilities of an excellent scene, an average scene and a below standards scene. If Leo shows up, what kind of probability is this called

Sagot :

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Answer:

1.)

P(E) = 0.5

P(A) = 0.2

P(N) = 0.3

Conditional probability ;

0.47

Step-by-step explanation:

Let :

E = Excellent ; A = Average ; N = not up to standard

P(E) = 0.5

P(A) = 0.2

P(N) = 0.3

If Leo shows up ; this type of probability is called a conditional probability. It is the likelihood of an event based on a certain or already satisfied condition.

The probability that Leo is coming :

Leo ; Excellent = 0.7

Leo ; Average = 0.3

Leo; Not up to standard = 0.2

Hence, probability they Leo is coming :

(0.5 * 0.7) + (0.2 * 0.3) + (0.3 * 0.2)

0.35 + 0.06 + 0.06

= 0.47

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