Choose two numbers X and Y independently at random from the unit interval [0,1] with the...

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Question

Choose two numbers X and Y independently at random from the unit interval [0,1] with the...

Choose two numbers X and Y independently at random from the unit interval [0,1] with the uniform density. The probability that

X^2+Y^2>0.81

is ?

math Statistics-And-Probability

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Answer 1

Answer #1

for given data:

P( X^2+Y^2>0.81 ) =P(Area of the shaded region on the curve) =1-P(area of unshaded region )

=1-(/4)*r² =1-(22/28)*0.81² =1-0.5153 =0.4847

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Answer 2

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