A-Level Mathematics Predicted Paper 2023 Edexcel Paper 3 – Statistics and Mechanics with correct marking schemes.

A-Level Mathematics Predicted Paper 2023 Edexcel Paper 3 – Statistics and Mechanics with correct marking schemes. Name ……………………………………………… Date ……………………………………………… 2 hours allowed Calculator Paper Maximum Mark: 100 Grade boundaries These are VERY rough guesses! Getting an A on this paper does not guarantee you the same mark in the exam. • A* 75% • A 55% • B 45% • C 35% • D 25% • E 15% SECTION A – Statistics 01 A survey has found that, of the 1250 households in a village, 880 eat home grown fruit and vegetables. a) Using the binomial distribution, find the probability that, out of a random sample of 20 households, exactly 18 eat home grown fruit and vegetables. [2 marks] b) Give a reason why you would not expect your calculation to be valid for 20 households on a specific road in the village. [1 mark] 02 The probability that a train is late on any given day is 0.05, independently of other days. a) The number of days on which the train is late during a 365 day period is denoted by the random variable Y. Find a value a such that P(Y a) ≈ 1 10 [3 marks] In the expansion of (0.05 + 0.95)50, the terms involving 0.05