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amonaroll32 Group TitleBest ResponseYou've already chosen the best response.0
A real number x is chosen at random such that 2<=x<=5. What is the probability that x^2<2?
 9 months ago

hwtrain Group TitleBest ResponseYou've already chosen the best response.0
Do you mean?\[2\le x \le5\]
 9 months ago

amonaroll32 Group TitleBest ResponseYou've already chosen the best response.0
Yeah @hwtrain
 9 months ago

zimmah Group TitleBest ResponseYou've already chosen the best response.1
Assuming each of the values has equal probability of occurring, you can have any value including and between 2 and 5 equally likely. Which of these numbers when squared will result in a value smaller than 2?
 9 months ago

zimmah Group TitleBest ResponseYou've already chosen the best response.1
Since it's a suffienctly small sample you can just try them each if you are not sure if they are smaller than 2 when squared
 9 months ago

amonaroll32 Group TitleBest ResponseYou've already chosen the best response.0
@zimmah There is an infinite number (decimals count)
 9 months ago

zimmah Group TitleBest ResponseYou've already chosen the best response.1
Then, a slightly different approach is needed
 9 months ago

zimmah Group TitleBest ResponseYou've already chosen the best response.1
Since the number squared has to be smaller than 2, the number itself must be smaller than the root of two, but since it's squared also negative numbers will result in positive so every value between sqrt2 and +sqrt2 would do
 9 months ago

amonaroll32 Group TitleBest ResponseYou've already chosen the best response.0
So would it be 2(sqrt2) over 7?
 9 months ago

zimmah Group TitleBest ResponseYou've already chosen the best response.1
Then, you should probably get the ratio of sqrt2 to 2 to see how much chance you have forthwith neat tsing of the line, and the same for the positive side.
 9 months ago

zimmah Group TitleBest ResponseYou've already chosen the best response.1
I guess so. I'm not 100% certain but sounds about riht
 9 months ago

amonaroll32 Group TitleBest ResponseYou've already chosen the best response.0
Thanks!
 9 months ago

zimmah Group TitleBest ResponseYou've already chosen the best response.1
Sorry for my spelling but theis website has horror input lag on ipad and also autocorrect from ipad tesla :s
 9 months ago
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