This problem has four parts (b) z>2.85 (c) z>-1.66 (d) -1.66<z<2.85 please show

Question

This problem has four parts (b) z>2.85 (c) z>-1.66 (d) -1.66<z<2.85 please show me how to proceed thank you

Explanation / Answer

I am assuming that you are looking to find the probability for these values of Z scores. For this you need to read values from a standard normal probability distribution table which is given in the book. For example for b) since z>2.85 you can look at the first column and find 2.8 and then go acroos in that row and find the cell in the column of 0.05 and the value of probability is 0.9978. Now since you need toe value for z>2.85 you must subtract this from 1 ==> P(z>2.85) = 1-0.9978 = 0.0022. In the same manner for part c) For z>-1.66 the value from table is 0.0485 hence P(z>-1.66) = 1-0.0485 = 0.9515 d) For -1.66

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