1) A Gaussian random variable has a mean value of 3 and a standard deviation of...
1) A Gaussian random variable has a mean value of 3 and a standard deviation of 2. Find the probability that the value of the random variable exceeds 9. Repeat for the probability that it is less than -5.
ANSWER WITH COMPLETE STEPS THANKS
Homework Answers
1)
(a)
P(x > 9) = 1 - P(x < 9)
= 1 - P[(x - 
) / 
< (9 - 3) / 2]
= 1 - P(z < 3)
= 0.0013
Probability = 0.0013
(b)
P(x < -5) = P[(x - 
) / 
< (-5 - 3) / 2]
= P(z < -4)
= 0
Probability = 0
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