Probability Test

1.A box contains 35 red dish aerials and 5 heat up disks. A disc is selected at random and its colour noted. The disc is then replaced in the box. (a)In eight such selections, what is the hazard that a black disc is selected (i)exactly once? (3) (ii)at least once? (3) (b)The forge of selecting and replacing is carried out four hundred times. What is the expected human activity of black discs that would be drawn? (2) (Total 8 marks) 2.For the events A and B, p(A) = 0.6, p(B) = 0.8 and p(A È B) = 1. consult (a)p(AÇB) (b)p( A È B) Working:|| |Answers:(a)..(b)..................................................................| (Total 4 marks) 3.The graph shows a regular curve for the random variable X, with mean ? and measurement passing s. It is known that p(X ³ 12) = 0.1. (a)The shaded neck of the woods A is the region on a lower floor the curve where x ³ 12. spell down the area of the shaded region A. (1) It is also known that p(X £ 8) = 0 .1. (b)Find the appreciate of ?, explaining your method in replete(p). (5) (c)Show that s = 1.56 to an accuracy of three fundamental figures. (5) (d)Find p(X £ 11). (5) (Total 16 marks) 4.A fair coin is tossed eight times.

Calculate (a)the hazard of obtaining exactly 4 heads; (2) (b)the prospect of obtaining exactly 3 heads; (1) (c)the chance of obtaining 3, 4 or 5 heads. (3) (Total 6 marks) 5.In a survey, leg Celsius students were asked do you prefer to watch telecasting or walkaway sport? Of the 46 boys in the survey, 33 give barbarism to they would choose sport, while 29 girls made this choice. |Boys|G irls|Total| tv|||| Sport|33|29|| Total|! 46|| coulomb| By completing this table or otherwise, find the probability that (a)a student selected at random prefers to watch television; (b)a student prefers to watch television, given that the student is a boy. Working:|| |Answers:(a)..(b)..................................................................| (Total 4 marks) 6.The...If you want to get a full essay, order it on our website: BestEssayCheap.com

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