SOLUTION: A set of 50 data values has a mean of 15 and a variance of 36. I. Find the standard score (z) for a data value = 30. II. Find the probability of a data value > 30. III. Find th

Algebra ->  Probability-and-statistics -> SOLUTION: A set of 50 data values has a mean of 15 and a variance of 36. I. Find the standard score (z) for a data value = 30. II. Find the probability of a data value > 30. III. Find th      Log On


   

Question 387667: A set of 50 data values has a mean of 15 and a variance of 36.
I. Find the standard score (z) for a data value = 30.
II. Find the probability of a data value > 30.
III. Find the probability of a data value < 30.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I.z=%28x-mu%29%2Fsigma
z=%2830-15%29%2Fsqrt%2836%29
.
.
III.P%28x%3C30%29=P%28z%29 where z was calculated in I.
.
.
II. P%28x%3E30%29%2BP%28x%3C30%29=1
P%28x%3E30%29=1-P%28x%3C30%29
P%28x%3E30%29=1-P%28z%29