DP Mathematics HL Questionbank
Concept of discrete and continuous random variables and their probability distributions.
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- 16M.2.hl.TZ2.10f: (i) Find \(\int_0^\pi {f(t){\text{d}}t} \) where \(0 \leqslant T \leqslant \frac{\pi...
- 16M.2.hl.TZ2.10e: Find the probability that \(T\) lies between the mean and the mode.
- 16M.2.hl.TZ2.10d: Find the variance of \(T\).
- 16M.2.hl.TZ2.10c: Find the mean of \(T\).
- 16M.2.hl.TZ2.10b: Use your sketch to find the mode of \(T\).
- 16M.2.hl.TZ2.10a: Sketch the graph of \(y = f(t)\).
- 16N.2.hl.TZ0.1b: Find the value of \({\text{Var}}(X)\).
- 16N.2.hl.TZ0.1a: Determine the value of \({\text{E}}({X^2})\).
- 16N.1.hl.TZ0.2b: Find the expected value of \(X\).
- 16N.1.hl.TZ0.2a: Complete the probability distribution table for \(X\).
- 16N.1.hl.TZ0.1: Find the coordinates of the point of intersection of the planes defined by the equations...
- 12M.2.hl.TZ1.2: The probability density function of the continuous random variable X is given by...
- 12M.2.hl.TZ2.7a: Find the value of a .
- 12M.3sp.hl.TZ0.4a: Sketch the function f and show that the lower quartile is 0.5.
- 12M.3sp.hl.TZ0.4b: (i) Determine E(X ). (ii) Determine \({\text{E}}({X^2})\).
- 08M.1.hl.TZ1.9: The random variable T has the probability density...
- 08M.1.hl.TZ2.1: The probability distribution of a discrete random variable X is defined...
- 11M.1.hl.TZ2.3b: Find the value of k .
- SPNone.1.hl.TZ0.4a: Determine \({\text{E}}(X)\) .
- SPNone.1.hl.TZ0.4b: Determine the mode of X .
- 10M.2.hl.TZ2.2: A discrete random variable X has a probability distribution given in the following...
- 10N.2.hl.TZ0.11: Tim throws two identical fair dice simultaneously. Each die has six faces: two faces numbered 1,...
- 13M.2.hl.TZ2.7b: Sketch the graph of the distribution.
- 13M.2.hl.TZ2.7c: Find \({\text{P}}(X < 0.6)\).
- 13M.2.hl.TZ2.7a: Show that a = 9.6.
- 13M.2.hl.TZ2.9b: Over a weekend of two days, it is given that a total of three requests are received. Find the...
- 11N.1.hl.TZ0.10a: Find the value of k.
- 08N.1.hl.TZ0.8: John removes the labels from three cans of tomato soup and two cans of chicken soup in order to...
- 13N.1.hl.TZ0.2: The discrete random variable X has probability distribution: (a) Find the value of...
- 13N.2.hl.TZ0.11b: A continuous random variable \(X\) has probability distribution function \(f\) given by ...
- 18M.2.hl.TZ1.10c: Given that...
- 18M.2.hl.TZ1.10b: Find \({\text{P}}\left( {X < 1} \right)\).
- 18M.2.hl.TZ1.10a: Show that \(a = \frac{2}{3}\).
- 18M.1.hl.TZ1.3b: Find the expected value of T.
- 18M.1.hl.TZ1.3a: Find the value of a and the value of b.
- 15N.2.hl.TZ0.8a: Find the value of \(A\) to three decimal places.
