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

hwtrain
 2 years ago
Best ResponseYou've already chosen the best response.0Do you mean?\[2\le x \le5\]

zimmah
 2 years ago
Best ResponseYou've already chosen the best response.1Assuming 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?

zimmah
 2 years ago
Best ResponseYou've already chosen the best response.1Since 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

amonaroll32
 2 years ago
Best ResponseYou've already chosen the best response.0@zimmah There is an infinite number (decimals count)

zimmah
 2 years ago
Best ResponseYou've already chosen the best response.1Then, a slightly different approach is needed

zimmah
 2 years ago
Best ResponseYou've already chosen the best response.1Since 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

amonaroll32
 2 years ago
Best ResponseYou've already chosen the best response.0So would it be 2(sqrt2) over 7?

zimmah
 2 years ago
Best ResponseYou've already chosen the best response.1Then, 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.

zimmah
 2 years ago
Best ResponseYou've already chosen the best response.1I guess so. I'm not 100% certain but sounds about riht

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