answer the following question thank you.
(1) Conditional Mean
Table 1 is the probability of admission to the university. X=1
means that students are admitted; x=0 means that students are not
admitted. Students are divided into two groups: male and
Female.
Table 1: Admission Table
Admit(x=1) Not Admit(x=0)
Male 0.3 0.2 Female 0.4 0.1
(a) Calculate the probability of admit, the probability of not admit, and the expectation of x.
(b) Calculate the probability of male, the probability of female, the conditional probability of admitting given male, the conditional probability of not admit
given male, the conditional probability of admitting given female, and the conditional probability of not admit given female.
(c)Calculate the conditional expectation of x given male and the conditional expectation of x given female.
(d) Show that the expectation of x equals the expectation of conditional expectation of x.
answer the following question thank you. (1) Conditional Mean Table 1 is the probability of admission to the university....
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Please answer the following statistics problem and show
all your steps thoroughly! Thank you!
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1. Discrete distribution for is given by the following table: Probability p Value X 0.2 -10 0.5 20 0.2 50 0.1 80 Find distribution function f00 and median Me(X).Calculate mathematical expectation (the mean) MX) variance (dispersion) DA), standard error σ(X), asymmetry coefficient As(X) and excess Ex(X).
Please, step by
step solving on paper. Thank you.
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