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A-Level MathematicsYear 2022Q1

2   1. George throws a ball at a target 15 times. Each time George throws the ball, the probability of the ball hitting the target is 0.48 The random variable X represents the number of times George hits the target in 15 throws. (a) Find (i) P (X = 3) (ii) P (X  5) (3) George now throws the ball at the target 250 times. (b) Use a normal approximation to calculate the probability that he will hit the target more than 110 times. (3) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 3   Question 1 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________ (Total for Question 1 is 6 marks)

Paper Source:9ma0-31-que-20220622.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)