DP Mathematics HL Questionbank

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Directly related questions

• 18M.3sp.hl.TZ0.2d: Determine the mean number of throws required to obtain a 1.
• 18M.3sp.hl.TZ0.2c: Find $G'\left( t \right)$.
• 18M.3sp.hl.TZ0.2b: Show that the probability generating function, $G\left( t \right)$, for X is given by...
• 18M.3sp.hl.TZ0.2a: State the distribution of X.
• 16M.3sp.hl.TZ0.5b: (i)     Show that $G(t)$, the probability generating function of $Y$, is given by...
• 16M.3sp.hl.TZ0.5a: Show that the probability distribution of $Y$ is given by...
• 17N.3sp.hl.TZ0.5c.ii: Identify the probability distribution given in part (c)(i) and state its parameters.
• 17N.3sp.hl.TZ0.5c.i: Show...
• 17N.3sp.hl.TZ0.5b: By considering the probability generating function, ${G_{X + Y}}(t)$, of $X + Y$, show that...
• 17N.3sp.hl.TZ0.5a.ii: Hence show that ${\text{Var}}(X) = \lambda$.
• 17N.3sp.hl.TZ0.5a.i: Find expressions for ${G’_X}(t)$ and ${G’’_X}(t)$.
• 17N.3sp.hl.TZ0.1b.ii: Given that $P(T < a) = 0.75$, find the value of $a$.
• 17N.3sp.hl.TZ0.1b.i: Sketch the graph of $F(t)$ for $0 \leqslant t \leqslant 2$, clearly indicating the...
• 17N.3sp.hl.TZ0.1a: Find the cumulative distribution function $F(t)$, for $0 \leqslant t \leqslant 2$.
• 15N.3sp.hl.TZ0.4e: A third random variable $W$, has probability generating function...
• 15N.3sp.hl.TZ0.4f: A third random variable $W$, has probability generating function...
• 14N.3sp.hl.TZ0.4a: (i)     Prove that ${\text{E}}(X) = \lambda$. (ii)     Prove that...
• 14N.3sp.hl.TZ0.4e: By consideration of the probability generating function, ${G_{X + Y}}(t)$, of $X + Y$, prove...
• 14N.3sp.hl.TZ0.4f: Find (i)     ${G_{X + Y}}(1)$; (ii)     ${G_{X + Y}}( - 1)$.