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slava [35]
3 years ago
6

Which of the equations below shows the relationship in the table? [X] [15] [5] [3] [1] -----------------------------------------

- [Y] [1] [3] [5] [15]] A. y = 15x B. y = x - 14 C. y = x + 2 D. y = 15 x
Mathematics
1 answer:
Nataly_w [17]3 years ago
4 0
Y=15/x or xy=15 it seems that a should be 15/x

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Answer:

a) P(X∩Y) = 0.2

b) P_1 = 0.16

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Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability P_1 that he must stop at the first signal but not at the second one can be calculated as:

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P_1 = 0.36 - 0.2 = 0.16

At the same way, the probability P_2 that he must stop at the second signal but not at the first one can be calculated as:

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P_2 = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

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