Probability
Hi , I've been struggling with these 3 questions for a while now, could someone please offer a solution?
Original post by marinacalder
Hi , I've been struggling with these 3 questions for a while now, could someone please offer a solution?
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(edited 6 years ago)
Original post by marinacalder
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For Q16 I would suggest starting by constructing separate probability distribution tables for X and Y. The rest should then fall into place.
Original post by marinacalder
...
16) p(h) = p(t) = 0.5, p(d = 1, 2, … 6) = 1/6
i) P(h = 5, X wins) = 1 - [P(d]
ii) P(d = 3, X wins) = P(h = 4) + P(h = 5) + P(h = 6)
Note: P(h = r) = 6Cr (0.5)^r (0.5)^(6 - r) = 6Cr 0.5^6
17) p(c) = 0.9, p(f) = 0.1; independent students
i) 15 completions in a row => (0.9)^15
ii) 15C1 ways of 1 fail, each of p = (0.1)(0.9)^14
iii) 15C2 ways of 2 fails, each of p = (0.2)^2(0.9)^13
P(Max: f = 2) = P(f = 0) + P(f = 1) + P(f = 2)
iv) P(Min: f = 2) = 1 - [P(f]
18) p(h) = 4/5, p(m) = 1/5; independent shots
i) P(Min: h = 8) = P(h = 8) + P(h = 9) + P(h = 10)
Note: P(h = r) = 10Cr (4/5)^r (1/5)^(10 - r)
ii) P(Max: h = 7) = 1 - P(Min: h = 8)
iii) 10C7 ways of 7 hits & 3 misses
Can miss 1-3, 2-4, ... 8-10: 8 ways
(edited 6 years ago)
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