DP Mathematics HL Questionbank
7.4
Description
[N/A]Directly related questions
- 16N.3sp.hl.TZ0.2c: Use this model to find the values of \(A\) and \(B\) such that...
- 16N.3sp.hl.TZ0.2b: Explain why a normal distribution can be used to give an approximate model for \(X\).
- 16N.3sp.hl.TZ0.2a: Find (i) \({\text{E}}(X)\); (ii) \({\text{Var}}(X)\).
- 17M.3sp.hl.TZ0.2c.ii: A random sample of 100 observations is obtained from the distribution of \(X\). If \(\bar X\)...
- 17M.3sp.hl.TZ0.2c.i: State the central limit theorem.
- 15N.3sp.hl.TZ0.3: Two students are selected at random from a large school with equal numbers of boys and girls. The...
- 08M.3sp.hl.TZ1.3: (a) Find the probability that the weight of a randomly chosen apple is more than double the...
- 08N.3sp.hl.TZ0.4: (a) A random variable, X , has probability density function defined...
- 09M.3sp.hl.TZ0.1: Ahmed and Brian live in the same house. Ahmed always walks to school and Brian always cycles to...
- 09N.3sp.hl.TZ0.2a: Alan and Brian are athletes specializing in the long jump. When Alan jumps, the length of his...
- SPNone.3sp.hl.TZ0.3a: Find the probability that the weight of a randomly selected male is more than twice the weight of...
- SPNone.3sp.hl.TZ0.3b: Two males and five females stand together on a weighing machine. Find the probability that their...
- 10M.3sp.hl.TZ0.4: A shop sells apples, pears and peaches. The weights, in grams, of these three types of fruit may...
- 10N.3sp.hl.TZ0.1a: A hospital specializes in treating overweight patients. These patients have weights that are...
- 13M.3sp.hl.TZ0.4b: (i) State the central limit theorem. (ii) A random sample of 150 observations is taken...
- 14M.3sp.hl.TZ0.1c: A random sample of \(40\) observations is taken from the distribution for \(X\). (i) Find...
- 15M.3sp.hl.TZ0.1b: A large can and a small can are selected at random. Find the probability that the large can...
- 15M.3sp.hl.TZ0.1c: A large can and five small cans are selected at random. Find the probability that the large can...
Sub sections and their related questions
A linear combination of independent normal random variables is normally distributed. In particular, \(X{\text{ ~ }}N\left( {\mu ,{\sigma ^2}} \right) \Rightarrow \bar X{\text{ ~ }}N\left( {\mu ,\frac{{{\sigma ^2}}}{n}} \right)\) .
- 08M.3sp.hl.TZ1.3: (a) Find the probability that the weight of a randomly chosen apple is more than double the...
- 09M.3sp.hl.TZ0.1: Ahmed and Brian live in the same house. Ahmed always walks to school and Brian always cycles to...
- 09N.3sp.hl.TZ0.2a: Alan and Brian are athletes specializing in the long jump. When Alan jumps, the length of his...
- SPNone.3sp.hl.TZ0.3a: Find the probability that the weight of a randomly selected male is more than twice the weight of...
- SPNone.3sp.hl.TZ0.3b: Two males and five females stand together on a weighing machine. Find the probability that their...
- 10M.3sp.hl.TZ0.4: A shop sells apples, pears and peaches. The weights, in grams, of these three types of fruit may...
- 10N.3sp.hl.TZ0.1a: A hospital specializes in treating overweight patients. These patients have weights that are...
- 15M.3sp.hl.TZ0.1b: A large can and a small can are selected at random. Find the probability that the large can...
- 15M.3sp.hl.TZ0.1c: A large can and five small cans are selected at random. Find the probability that the large can...
- 15N.3sp.hl.TZ0.3: Two students are selected at random from a large school with equal numbers of boys and girls. The...
The central limit theorem.
- 08N.3sp.hl.TZ0.4: (a) A random variable, X , has probability density function defined...
- 13M.3sp.hl.TZ0.4b: (i) State the central limit theorem. (ii) A random sample of 150 observations is taken...
- 14M.3sp.hl.TZ0.1c: A random sample of \(40\) observations is taken from the distribution for \(X\). (i) Find...
- 16N.3sp.hl.TZ0.2a: Find (i) \({\text{E}}(X)\); (ii) \({\text{Var}}(X)\).
- 16N.3sp.hl.TZ0.2b: Explain why a normal distribution can be used to give an approximate model for \(X\).
- 16N.3sp.hl.TZ0.2c: Use this model to find the values of \(A\) and \(B\) such that...
