DP Further Mathematics HL Questionbank

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Directly related questions

• 18M.2.hl.TZ0.8d: Let \(M = \frac{1}{2}N\). Show that M has a geometric distribution and hence find the value of E(N).
• 18M.2.hl.TZ0.8c: After 6 serves the score is 3 points each. Play continues and the game ends when one player has...
• 18M.2.hl.TZ0.8b: Two friends A and B play a ball game with the following rules. Each player starts with zero...
• 18M.2.hl.TZ0.8a.ii: Deduce that \({\text{E}}\left( X \right) = \frac{1}{p}\).
• 18M.2.hl.TZ0.8a.i: Show that the probability generating function of X is given...
• 16M.1.hl.TZ0.13c: Find the set of values of \(n\) for which \({\text{E}}({X_{n - 1}} \times {X_{n + 1}}) < 2n\).
• 16M.1.hl.TZ0.13b: Find \({\text{E}}({X_n})\).
• 16M.1.hl.TZ0.13a: Use the formula for the sum of a finite geometric series to show...
• 09M.2.hl.TZ0.1A.b: (i)      Use your answer to (a) to find an approximate expression for the cumulative distributive...
• 13M.2.hl.TZ0.3a: (i)     Find an expression for \({\rm{P}}(X > a)\) , where \(a > 0\) . A chicken crosses a...
• 13M.2.hl.TZ0.3b: A rifleman shoots at a circular target. The distance in centimetres from the centre of the target...
• 12M.2.hl.TZ0.5a: The continuous random variable \(X\) takes values only in the interval [\(a\), \(b\)] and \(F\)...
• 12M.2.hl.TZ0.5b: The continuous random variable \(Y\) has probability density function \(f\) given...
• SPNone.2.hl.TZ0.7b: (i)     Show that \({\rm{P}}(Y \le y) = {\left( {\frac{y}{a}} \right)^{3n}},0 \le y \le a\) and...