SOLUTION: A set of 50 data values has a mean of 28 and a variance of 4. I. Find the standard score (z) for a data value = 31. II. Find the probability of a data value > 31.

Algebra ->  Probability-and-statistics -> SOLUTION: A set of 50 data values has a mean of 28 and a variance of 4. I. Find the standard score (z) for a data value = 31. II. Find the probability of a data value > 31.       Log On


   

Question 363393: A set of 50 data values has a mean of 28 and a variance of 4.
I. Find the standard score (z) for a data value = 31.
II. Find the probability of a data value > 31.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
z=%28x-mu%29%2Fsigma
z%5B1%5D=%2831-28%29%2F4
.
.
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Now using z%5B1%5D, find P%28z%5B1%5D%29
P%28z1%29=P%28x%3C=31%29
P%28x%3C=31%29%2BP%28x%3E31%29=1
P%28x%3E31%29=1-P%28x%3C=31%29
P%28x%3E31%29=1-P%28z%5B1%5D%29