设X~N(3,2²),试求P(X<5);P(X>9)(?
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X~N(3,2²),
Z= (X-3)/2~N(0,1)
P(X<5)
=P(Z<(5-3)/2)
=P(Z<1)
=0.5+0.3113
=0.8113
P(X>9)
=P(Z>(9-3)/2)
=P(Z>3)
=1-P(Z<3)
=1-(0.5+0.4987)
=1-0.9987
=0.0013
Z= (X-3)/2~N(0,1)
P(X<5)
=P(Z<(5-3)/2)
=P(Z<1)
=0.5+0.3113
=0.8113
P(X>9)
=P(Z>(9-3)/2)
=P(Z>3)
=1-P(Z<3)
=1-(0.5+0.4987)
=1-0.9987
=0.0013
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