Homework Statement
Of all archers at one particular competition
50% are local (1/2)
40% come from another state (2/5)
10% are international (1/10)
At the end of the competition some of the archers choose to go on a specially organised bus tour
Of the locals 35% go on the tour...
a) Let a=RSI, b=eye strain, a'c'=a^c*a^c=neither
P(a)=0.057, P(b)=0.036, P(a'b')=0.912
b) S[0.57, 0.036, 0.912]
c) (0.057)*(0.036)=0.002052
d) The values are statistically independent, in oder to to be statistically dependent at least one of the outcomes must have an effect on the other this...
Homework Statement
(a) At the start of the competition, Shirley has 20 arrows in her quiver (a quiver is a container which holds arrows). 13 of Shirley’s arrows have red feathers, and 7 have green feathers. Arrows are not replaced when they are shot at the target.
(i) At the end of the...
Homework Statement
Each year, 5.7% of archers develop repetitive strain injury (RSI) in their arm.
Each year, 3.6% of archers develop problems related to eye strain.
However, 91.2% of archers develop neither.
(a) Formally define sensible event notation, and summarise the information in the...
Homework Statement
use trig identities to show that
(b) cos(tan^(−1)[x])=1/√(1+x^2) for −1/2π<x<1/2π.
Homework Equations
i think Pythagoras has to applied but that is geometric reasoning hmm
The Attempt at a Solution
Homework Statement
Suppose that u and v are real numbers for which u + iv has modulus 3. Express the imaginary part of (u + iv)^−3 in terms of a polynomial in v.Homework Equations
The Attempt at a Solution
|u+iv|=3 then sort(u^2+i^2) = 3 then
u = 3 and v=0 or u=0 and v=3(0+3i)^-3
i swear i am...