Question 1 - A-Level Maths

Exam Board	Edexcel
Module	S2 (Statistics 2)
Year	2004
Session	January
Topic	Hypothesis test of binomial distributions
Type	Explain sampling frames and units

A large dental practice wishes to investigate the level of satisfaction of its patients.
1. Suggest a suitable sampling frame for the investigation.
2. Identify the sampling units.
3. State one advantage and one disadvantage of using a sample survey rather than a census.
4. Suggest a problem that might arise with the sampling frame when selecting patients.
5. The random variable \(R\) has the binomial distribution \(\mathrm { B } ( 12,0.35 )\).
6. Find \(\mathrm { P } ( R \geq 4 )\).
The random variable \(S\) has the Poisson distribution with mean 2.71.
Find \(\mathrm { P } ( S \leq 1 )\). The random variable \(T\) has the normal distribution \(\mathrm { N } \left( 25,5 ^ { 2 } \right)\).
Find \(\mathrm { P } ( T \leq 18 )\).