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junior college 1 | H1 Maths
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junior college 1 chevron_right H1 Maths chevron_right Singapore

Need help for part(d),
My working: P(X1 > 66.861 and X2 < 66.861 ....... X50 < 66.861)

Date Posted: 3 years ago
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Tham KY
Tham Ky's answer
6052 answers (Tutor Details)
1st
part (d) only... pls verify...
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3 years ago
Is it possible to solve part (d) using normal distribution?
P(X1 > a and X2 < a ............. and X50 < a)
And multiply by 50 as the lap that will take more than a seconds can be on the second lap, third lap .......... 50th lap
Tham KY
Tham KY
3 years ago
Since the required lap can happen in any one of the 50laps, that is why Binomial is used, coz you need to permute, Binomial includes permutation...
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3 years ago
Understood thanks!
Tham KY
Tham KY
3 years ago
If you multiply by 50, answer should be the same. Did you do (0.01)*(0.99)^49*50?
Tham KY
Tham KY
3 years ago
Think you might have misplaced the 0.99 and 0.01...
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3 years ago
Yes I found out my mistake.
Thank you