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Personnel selection. Suppose that 8 female and 6 male applicants have been successfully screened for 5...

Personnel selection. Suppose that 8 female and 6 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 14 ​finalists, what is the probability of selecting ​(A) 3 females and 2​ males? ​(B) 4 females and 1​ male? ​(C) 5​ females? ​(D) At least 4​ females? ​(A) The probability of selecting 3 females and 2 males is approximately nothing. ​(Type a decimal. Round to three decimal​ places.) ​(B) The probability of selecting 4 females and 1 male is approximately nothing. ​(Type a decimal. Round to three decimal​ places.) ​(C) The probability of selecting 5 females is approximately nothing. ​(Type a decimal. Round to three decimal​ places.) ​(D) The probability of selecting at least 4 females is approximately nothing. ​(Type a decimal. Round to three decimal​ places.)

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