Question

Use the table below to answer the question:

Pclass Sex Survived 1.0 1.0 0.131579 1.0 2.0 0.266082 2.0 1.0 0.049708 2.0 2.0 0.204678 3.0 1.0 0.137427 3.0 2.0 0.210526 2

1.a. "Marginalize" the probability distribution to compute the survival probability by Sex alone
1.b. Compute the expectation of the survival over the Sex R.V.

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Answer #1

1(a)

The marginla distribution is

P(sex =1) = 0.131579 + 0.049708 + 0.137427 = 0.318714

P(sex =2) = 0.266082+ 0.204678+ 0.210526= 0.681286

1b)

E(sex variable) = 1 * 0.318714 + 2 * 0.681286 = 1.681286

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