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Shalnov [3]
3 years ago
6

Alex wants to make birdhouses for the wild birds that lives around the area. She's trying to decide on the measurements for the

roof of a birdhouse. The diagram shows that the roof is formed by two identical right triangles. Which set of measurements can be used to make one of the right triangles?
A. 15 cm, 20 cm, 35 cm
B. 15 cm, 36 cm, 39 cm
C. 15 cm, 20 cm, 26 cm
D. 12 cm, 16 cm, 18 cm

Mathematics
1 answer:
Anika [276]3 years ago
7 0
It's B I'm % sure of it
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Answer:

P(Y = 0) = 0.09

P(Y = 1) = 0.4

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Step-by-step explanation:

Let the events be:

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T = Thursday

F = Friday

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P(W) = 0.3\\P(T) = 0.4\\P(F) = 0.2\\P(S) = 0.1

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The values associated for each of the outcomes are as follows:

Y(W, W) = 0, Y(W, T) = 1, Y(W, F) = 2, Y(W, S) = 3\\Y(T, W) = 1, Y(T, T) = 1, Y(T, F) = 2, Y(T, S) = 3\\Y(F, W) = 2, Y(F, T) = 2, Y(F, F) = 2, Y(F, S) = 3\\Y(S, W) = 3, Y(S, T) = 3, Y(S, F) = 3, Y(S, S) = 3

The probability mass function of Y is,

P(Y = 0) = 0.3(0.3) = 0.09\\P(Y = 1) = P[(W, T) or (T, W) or (T, T)]\\= [0.3(0.4) + 0.3(0.4) + 0.4(0.4)]\\= 0.4\\\\P(Y = 2) = P[(W, F) or (T, F) or (F, W) or (F, T) or (F, F)]\\= [0.3(0.2) + 0.4(0.2) + 0.2(0.3) + 0.2(0.4) + 0.2(0.2)]\\= 0.32\\\\P(Y = 3) = P[(W, S) or (T, S) or (F, S) or (S, W) or (S, T) or (S, F) or (S, S)]\\= [0.3(0.1) + 0.4(0.1) + 0.2(0.1) + 0.1(0.3) 0.1(0.4) + 0.1(0.2) + 0.1(0.1)]\\= 0.19

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