IB Math AI SL - May 2024 - Paper 2 - TZ1 скачать в хорошем качестве

IB Math AI SL - May 2024 - Paper 2 - TZ1

0:00 - Intro Question 1 - Correlation, Regression and Hypothesis Testing (19 marks) 00:13 - 1.a) Reading Spearman's rank correlation coefficient (SL4.10) 03:48 - 1.b.i) Calculating Pearson's correlation coefficient (SL4.10) 06:09 - 1.b.ii) Describing correlation from Pearson's coefficient (SL4.10) 07:22 - 1.c.i-ii) Finding slope and y-intercept of regression line (SL4.10) 09:50 - 1.c.iii) Interpreting y-intercept in context (SL4.10) 12:47 - 1.d.i) Using regression equation for prediction (SL4.10) 15:39 - 1.d.ii) Justifying validity of prediction (SL4.10) 19:43 - 1.e) Writing alternative hypothesis for t-test (SL4.11) 21:34 - 1.f) Finding p-value for t-test (SL4.11) 24:40 - 1.g) Drawing conclusion from t-test (SL4.11) 28:39 - 1.h) Stating assumptions for t-test (SL4.11) Question 2 - Normal Distribution and Binomial Probability (15 marks) 29:44 - 2.a) Properties of normal distribution (SL4.9) 32:12 - 2.b) Normal distribution probabilities (SL4.9) 35:06 - 2.c.i) Sketching normal distribution with shaded region (SL4.9) 36:38 - 2.c.ii) Inverse normal distribution (SL4.9) 38:30 - 2.d) Binomial probability calculations (SL4.8) 43:31 - 2.e) Writing piecewise function for pricing (SL2.2) 47:41 - 2.f) Evaluating piecewise function (SL2.2) 48:59 - 2.g) Solving piecewise function equation (SL2.2) Question 3 - Optimization and Calculus (13 marks) 50:52 - 3.a) Solving rational equations (SL1.5) 52:43 - 3.b.i) Evaluating rational function (SL2.5) 54:04 - 3.b.ii) Calculating income from model (SL2.5) 55:17 - 3.c.i) Proving profit formula (SL2.5) 1:00:40 - 3.c.ii) Finding derivative (SL5.3) 1:06:09 - 3.c.iii) Solving derivative equation (SL5.7) 1:11:06 - 3.c.iv) Finding optimal quantity (SL5.7) Question 4 - Probability and Chi-Squared Test (12 marks) 1:16:19 - 4.a.i-iii) Reading probabilities from tree diagram (SL4.6) 1:19:05 - 4.b) Calculating probability using tree diagram (SL4.6) 1:19:53 - 4.c) Calculating expected frequency (SL4.11) 1:23:16 - 4.d) Performing chi-squared goodness of fit test (SL4.11) Question 5 - Calculus, Integration and Applications (21 marks) 1:32:18 - 5.a) Evaluating derivative at a point (SL5.2) 1:35:30 - 5.b) Finding function from derivative using boundary conditions (SL5.5) 1:43:28 - 5.c.i) Writing definite integral for area (SL5.5) 1:45:43 - 5.c.ii) Calculating area using integration (SL5.5) 1:47:14 - 5.d) Finding volume of 3D shape (SL3.1) 1:48:52 - 5.e) Writing system of equations from conditions (SL1.8, SL5.1) 1:54:45 - 5.f) Solving system of three equations (SL1.8) 1:56:45 - 5.g) Explaining continuity of piecewise function (SL5.1)