SOLUTION: Suppose X is random variable from a normal distribution with mean=10 and standard deviation=5. Find the following probabilities using the Z-table. (a) P (X>12) (b) P(

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose X is random variable from a normal distribution with mean=10 and standard deviation=5. Find the following probabilities using the Z-table. (a) P (X>12) (b) P(      Log On


   



Question 832383: Suppose X is random variable from a normal distribution with mean=10 and standard deviation=5. Find the following probabilities using the Z-table.
(a) P (X>12) (b) P(X<12) (c) P(X<8) (d) P(X<3)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Calculate z.
z=%28x-m%29%2Fsigma
a) z=%2812-10%29%2F5=0.4
P(X<12)=0.6554
P(X>12)=1-0.6554=0.3446
.
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Do the other two examples in a similar fashion.