SOLUTION: Please help me solve this question
Let the space of the random variable X be A = {x : 0 < x < 10} and let P(A1) =3 /8, where A1= {X : 1< X < 5}. Show that P(A2) ≤ 5/8.
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Let the space of the random variable X be A = {x : 0 < x < 10} and let P(A1) =3 /8, where A1= {X : 1< X < 5}. Show that P(A2) ≤ 5/8.
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Question 850016: Please help me solve this question
Let the space of the random variable X be A = {x : 0 < x < 10} and let P(A1) =3 /8, where A1= {X : 1< X < 5}. Show that P(A2) ≤ 5/8. Where A2 = {x:5≤ x <10} Answer by stanbon(75887) (Show Source):
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Let the space of the random variable X be A = {x : 0 < x < 10}
and let P(A1) = 3 /8, where A1= {X : 0< X < 5}. Show that P(A2) ≤ 5/8. Where A2 = {x:5≤ x <10
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A covers the interval 0
A = A1+A2
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0< x < 5 U 5<= x < 10 = 0
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A1 U A2 = A
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P(A1)+P(A2) = 1
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3/8 + P(A2) = 1
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Therefore: P(A2) = 1-(3/8) = 5/8
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Cheers,
Stan H.
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