Pearson Edexcel A level Mathematics Statistics & Mechanics Year 2 Textbook + e-book (A level Maths and Further Maths 2017)

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Summary of key points 1 If y = axn for constants a and n then log y = log a + n log x 2 If y = kbx for constants k and b then log y = log k + x log b 3 The product moment correlation coefficient describes the linear correlation between two variables. It can take values between −1 and 1. 4 For a one-tailed test use either: • H0 : ρ = 0, H1 : ρ > 0 or

You have read and understand this Agreement and agree that it constitutes the complete and exclusive statement of the Agreement between us with respect to the subject matter of this Agreement. 12. Law and Disputes Summary of key points 1 The event A and B can be written as A ∩ B. The ‘∩’ symbol is the symbol for intersection. The event A or B can be written as A ∪ B. The ‘∪’ symbol is the symbol for union.random variable, you write X ~ N(µ, σ 2) where µ is the population mean and σ 2 is the population variance.

b Find the probability that a randomly selected sheet is: i produced by factory B and flawed  ii flawed.  The height, h cm, and handspan, s cm, of 20 students are recorded. The regression line of h on s is found to be h = 22 + 11.3s. Give an interpretation of the value 11.3 in ← Year 1, Chapter 4 this model. 3 A single observation of x = 32 is taken from the random variable X ~ B(40, p). Test, at the 1% significance level, H0 : p = 0.6 ← Year 1, Chapter 7 against H1 : p > 0.6.b Find the product moment correlation coefficient for these data, correct to 3 significant figures.  (2 marks) A teacher claims that students who do well in their theoretical test also tend to do well in their practical test. c Test this claim at a 0.05 significance level, stating your hypotheses clearly.  d Give an interpretation of the value 0.05 in your hypothesis test.  E

The relationship between the original data sets is modelled by an equation of the form y = ax n. Find, correct to 3 decimal places, the values of a and n. Jean always goes to work by bus or takes a taxi. If one day she goes to work by bus, the probability she goes to work by taxi the next day is 0.4. If one day she goes to work by taxi, the probability she goes to work by bus the next day is 0.7. Given that Jean takes the bus to work on Monday, find the probability that she takes a taxi to work on Wednesday. A bag contains five red and four blue tokens. A token is chosen at random, the colour recorded and the token is not replaced. A second token is chosen and the colour recorded. a Draw a tree diagram to illustrate this situation. Find the probability that: b the second token is red given that the first token is blue 31 M02_EDSM2_SB_AL_83282_U02_016-036.indd 31 iv. You may not sub-licence, assign, rent, lease or transfer your accesses. 3. Accessing CGP Online EditionsExtra online content Whenever you see an Online box, it means that there is extra online content available to support you. The following table shows the marks attained by 8 students in English and Mathematics tests. Student

Finding probabilities for normal distributions You can find probabilities for a normal distribution using the normal cumulative distribution function on your calculator. Initially there are 10 beads in the bag and 6 are 6 green. P(G1) = __ ​​ 10 ​​ . Since a green bead is removed and not replaced, the total number of beads is reduced to 9 and there are just 5 green beads remaining. You need to enter a lower limit into your calculator. Choose a value at least 5 standard deviations away from the mean. For example 10, or −100. Because P(X < 10) is very close to 0, P(10 < X < 33) ≈ P(X < 33). The data is coded using x = t and y = log n. a Copy and complete the table showing the values of log n.  b Calculate the product moment correlation coefficient for the coded data.  Plates made using a particular manufacturing process have a diameter, D cm, which can be modelled using a normal distribution, D ~ N(20, 1.52).But wait, there's more - we've also included a realistic Practice Paper (with complete mark scheme), and a free Online Edition to read on PC, Mac or tablet (just use the unique code printed inside the cover to gain full access). You are responsible for ensuring that, prior to the use of the Service by your employees, agents or students, all such parties are notified of and agree to the terms of this Agreement. Calculator tutorials Our helpful video tutorials will guide you through how to use your calculator in the exams. They cover both Casio's scientific and colour graphic calculators. In a sports club, there are 75 members of whom 32 are female. Of the female members, 15 play badminton and 17 play squash. There are 22 men who play squash and the rest play badminton. a Draw a two-way table to illustrate this situation. b Find: i P(Male|Squash)