(a)[3]
Calculate unbiased estimates of the population mean and variance of $M$.
(b)[3]
The price, $P$, of a block of cheese with mass $M$ kg is given by $P = 11M + 0.50$. Determine estimates for the population mean and variance of $P$.
Mathematics 9709 · AS & A Level · Linear combinations of random variables
Linear combinations of random variables — practice question
Let the random variable $M$ represent the mass, in kilograms, of a block of cheese sold in a supermarket. A random sample of 40 blocks has these summary statistics: $n = 40$, $\sum m = 20.50$, $\sum m^2 = 10.7280$.