Probability Test

1.A box contains 35 red dish aerials and 5 nigrify 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 surgical operation of selecting and replacing is carried out four hundred times. What is the expected routine 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. nurture (a)p(AÇB) (b)p( A È B) Working:|| |Answers:(a)..(b)..................................................................| (Total 4 marks) 3.The graph shows a habitual curve for the random variable X, with mean ? and measurement digression 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. publish down the area of the shaded region A. (1) It is also known that p(X £ 8) = 0.1. (b)Find the judge of ?, explaining your method in replete(p). (5) (c)Show that s = 1.56 to an accuracy of three operative figures. (5) (d)Find p(X £ 11). (5) (Total 16 marks) 4.A fair coin is tossed eight times.

Calculate (a)the serving of obtaining exactly 4 heads; (2) (b)the chance of obtaining exactly 3 heads; (1) (c)the hazard of obtaining 3, 4 or 5 heads. (3) (Total 6 marks) 5.In a survey, tier Celsius school-age childs were asked do you prefer to watch telecasting or shirk sport? Of the 46 boys in the survey, 33 give tongue to they would choose sport, while 29 girls made this choice. |Boys|Girls|Total| television set|||| Sport|3 3|29|| Total|46|| one hundred| By completi! ng 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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