Question

Question#4/6+4-10 marks 6)Fill up with the probability of respective event in the probability tree diagram of a family with three Children. Use B for boy and G for girl. 25 16 25 16 186 28 15 17 235 From the diagram find the probability that the family has (a) Three boys (b) More than two boys (c) At least one boy C) The medal distribution from the 2000 Summer Olympic Games is shown in the table Gold Silver Bronze United States Russia 3228 China Australia Others Choose one medal winner at random. (a) Find the probability that the winner won the gold medal, given that the winner was from the United States (b) Find the probability that the winner was from the United States, given that she or he won a gold medal Question#5j5+5–10 marks A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain O no more than 2' rejects? at least "2" rejects? (ii) Mean and the variance of the distribution

Answer 1

о ВВВ, В BG R 44, 444 (о 다 2 <1 ч 2 О 3 Ч (2 (6) 34+25+ 3 3 74 Ч7 31 14+32+28 +8 + 86 Зо

@ 0 Rejects Total = 12x10 = 1.2 P = pio Mean & Varance {plu) : 0.3+0.27 0.4 ton =) Valid b P(x =7) = 0.4 C E ( Expe) { (2x0.3 + 4x0.27 7x0.4 +8801) - 0.64 0.8 + 2.8+0.8 = 5 d Variance ro {(x-M) ² p(x) {{(2-5) 20.3 + (4-5) 0.27 (7.5² 0.4 + (8-5) ² 0.1 = 2.7 to 2 + 1.6 tong - Soy