6.27, 6.29,6.30 Among 15 applicants for sales positions in a corporation, 8 have

Question

6.27, 6.29,6.30 Among 15 applicants for sales positions in a corporation, 8 have college degrees and 7 do not have college degrees. If 4 are randomly selected for interviews, what is the probability that all have college degrees? A certain squad of the U.S. Army has seven male and five female enlisted personnel, of whom six are randomly selected to form an honor guard. Use the formula for the hypergeometric distribution and Table X (Binomial Coefficients) to determine the probabilities that (a) three personnel of the honor guard will be male, and three will be female; (b) five will be male and one will be female. Ten seedless grapefruit and eight seedy grapefruit were unintentionally mixed on a store display. If a clerk randomly selects four grapefruit from the display, what is the probability that he will select two seedless and two seedy grapefruit? Use the formula for the hypergeometric distribution and Table X, Binomial Coefficients, to solve this exercise. At a birthday party for a child, a birthday cake was brought to the table with 10 burning candles, 5 of which were pink and 5 of which were blue. With one breath, the child randomly blew out the flames of 9 candles. What is the probability that the candle which was not blown out was blue? What is the probability that the

Explanation / Answer

SOlving first question only

6.27

Required probability = 8C4/15C4 = 8*7*6*5/(15*14*13*12) = 0.0512

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