Help Answer. For Part B 1. I put -1.88, -1.881, -1.885 as answers and they're still incorrect, how come?

Question

The age of all farmers are normally distributed with a mean 51 years old and standard deviaiton 11 years old.

Part A

Find X such as 98% of all farmers are younger X years old.

(1) Use the Normal table to find the z-score assoicated with X .  (Round the z-score to 3 decimal places if possible)

(2) Find X .  (Round X to 3 decimal places if possible)

Part B

Find X such as 3% of all farmers are older than X years old.

(1) Use the Normal table to find the z-score assoicated with X .  (Round the z-score to 3 decimal places if possible)

(2) Find X .  (Round X to 3 decimal places if possible)

Part C

About middle 80% of farmers between  years old and  years old.

(Rounding the answer to 3 decimal places if possible)

Answer 1

1.881 is correct for P(z>1.881) = .03

You are finding the P(z<-1.881) = .03 For greater, you need the area to the right of z whereas the table tells you the area to the left (look for P(z) = .97)

Please consider a tutor. Take care.