also, could anyone explain 1 a iii in a more algebrac way?? i got the answer same as ii though.....
Mean = integral over [2,6] of xf(x)dx, enter into calculator => 4.1333 hours
is that question 1 a iii? i think it's the last question of 1...... i got that though...
Sorry:
What is the probability, correct to three decimal places, that her first 4 attempts at scoring a goal are successful, given that exactly 6 of her first 8 attempts at scoring a goal in a match are successful?
Combinatorics solution:
- Given exactly 6 successes == given exactly 2 failures
- Our probability space has these 2 failures anywhere in the 8 attempts, so 8 choices for the first fail * 7 choices for the second fail = 56
- The event we want has these 2 failures anywhere in the last 4 attempts, so 4 choices for the first fail * 3 choices for the second fail = 12

Yes, I saw that, i just don't understand... it seems to be explaining a lot..
She shoots for goal 8 times;
Split the problem into two scenarios: the first four shots at goal[1], then the next four[2].
[1] Probability she scores each of the first four times
n=4, r=4, p=0.8 => Pr(X=4) = (4C4)(0.

^4(0.2)^0 = 0.8^4 = 0.4096
[2] Probability she scores two of the next four times
n=4, r=2, p=0.8 => Pr(X=2) = (4C2)(0.

^2(0.2)^2 = 0.1536
[1] x [2] = 0.063 to 3 d.p.
From part a)ii) of that question, Pr(X=6) = 0.2936
Conditional probability: 0.063 / 0.2936 = 0.214 to 3 d.p.