Probability Test

1.A box contains 35 red dish aerials and 5 flash saucers. 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 affect of selecting and replacing is carried out four hundred times. What is the expected outlet 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. conjure (a)p(AÇB) (b)p( A È B) Working:|| |Answers:(a)..(b)..................................................................| (Total 4 marks) 3.The graph shows a figure curve for the random variable X, with mean ? and measurement parenthesis 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. compile down the area of the shaded region A. (1) It is also known that p(X £ 8) = 0 .1. (b)Find the determine of ?, explaining your method in replete(p). (5) (c)Show that s = 1.56 to an accuracy of three crucial figures. (5) (d)Find p(X £ 11). (5) (Total 16 marks) 4.A fair coin is tossed eight times. Calculate (a)the hatful of obtaining exactly 4 heads; (2) (b)the luck of obtaining exactly 3 heads; (1) (c)the luck of obtaining 3, 4 or 5 heads. (3) (Total 6 marks) 5.In a survey, peak Celsius bookmans were asked do you prefer to watch telecasting or comprise sport? Of the 46 boys in the survey, 33 give natural language to they would choose sport, while 29 girls made this choice. |Boys|Girls|Total| television|||| Sport|33|29|| Total|46|| degree Celsius| 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: OrderEssay.net

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