Author Topic: Vcaa 2009 Exam 2 (Read 544 times) Tweet Share

Sanguinne · « **on:** November 05, 2013, 02:29:06 pm »

q 3 g extended response

Let p be the probability that the Melbourne Tennis Club will buy its tennis balls from BBC n years after 2009 given that it buys them from BBC in 2009.
Find the smallest value of n such that p ≤ 0.45

Why is this question solved through trial and error with matrices like so
$(\begin{bmatrix} 0.8 & 0.15\\ 0.2 & 0.85 \end{bmatrix})^{n} \begin{bmatrix} 1\\ 0 \end{bmatrix} = \begin{bmatrix} p\\ 1-p \end{bmatrix}$

instead of $0.8^{n}\leq 0.45$

Conic · « **Reply #1 on:** November 05, 2013, 02:36:06 pm »

It says "n years after" not "n years in a row", so the club doesn't have to buy the balls form the BBC every year.

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Author Topic: Vcaa 2009 Exam 2 (Read 544 times) Tweet Share

Sanguinne

Vcaa 2009 Exam 2

Conic

Re: Vcaa 2009 Exam 2

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