FP1 induction example
Prove f(n) is divisible by 576 for n=1,2,3,4.....
If (for some k >1) f(k) is divisible by 576 then for some natural number m.
An interesting problem http://www.thestudentroom.co.uk/show....php?t=1293042
If w is a cube root of 1 then theta=0, 2pi/3, 4pi/3
(1-w)^6 = -27, 0, 27
Step 1 2010 Q13
P(first text in second hour) = P(0 in first hour)*P(>0 in second hour)
gives the required equation
For the two positive values of lambda.. one is easy, for the other show that for 0<p<1/4
Starting with leads to so and so
Mildred's lamdas satisfy
so using product of roots
The combined rate for the two phones is subbing this in for lambda in the given equation results in p(1-p) as the required probability.
And actually passed?