A company has five applicants for two positions: two women and three men. Suppose that the five applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for px), the probability distribution of X. csc 3 O – p(x) = – 2-X for x = 0, 1, 2 NN 0 2-x for x = 0, 1, 2 0 NNNN U O p(x) = – * 2-X for x = 0, 1, 2, 3, 4, 5 – for x = 0, 1, 2, 3, 4, 5 NUN O p(x) = – 2* for x = 0, 1, 2 (b) What are the mean u and variance o2 of this distribution? (Round your mean to one decimal place and your variance to two decimal places.) u= 02=

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