SOLUTION: Z is a standard normal variable. Find the value of Z in the following (please show your works).

Algebra ->  Probability-and-statistics -> SOLUTION: Z is a standard normal variable. Find the value of Z in the following (please show your works).       Log On


   

Question 1160005: Z is a standard normal variable. Find the value of Z in the following (please show your works). (Total: 12 marks; 2 marks each)

a. The area to the left of Z is 0.9279.



b. The area to the right of Z is 0.1539.




c. The area to the left of -Z is 0.0681.




d. The area to the right of -Z is 0.9834.




e. The area between 0 and Z is 0.4744.




f. The area between -Z and Z is 0.7108.
​
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
a. z=+1.46 from the table. Use the table, because all of these are exactly present.
b.z=+1.02
c.z=-1.49
d. Want -z probability to be 0.0136, and z=-2.21
e. z=+1.95. That is between 50% and 97.44%
f. Here, there is 0.2892 missing, and it is evenly divided between the two tails. So look for 0.1446 on the left or 0.8554, the complement, on the right. The absolute value of each z is the same and is between -1.06 and +1.06.