Whats the answer for 14 abcdef Solutiona Here we have to fin

Solution

(a)

Here we have to find z such that P(Z<z)=0.9750. From z-table area left to z-score 1.96 is 0.975. So required z-score is 1.96.

(b)

Since area left to z-score 0 is 0.5 and area left to z-score 1.96 is 0.975 so area between z-scores 0 and 1.96 is

0.975-0.5=0.475

(c)

Here we have to find z such that P(Z<z)=0.7291. From z-table area left to z-score 0.61 is 0.7291. So required z-score is 0.61.

(d)

Area right to z-score 0.1314 mean area left to z-score is 1-0.1314=0.8686. From z-table area left to z-score 1.12 is 0.8686. So required z-score is 1.12.

(e)

Here we have to find z such that P(Z<z)=0.6700. From z-table area left to z-score 0.44 is 0.6700. So required z-score is 0.44.

(f)

Area right to z-score 0.3300 mean area left to z-score is 1-0.33=0.6700. From z-table area left to z-score 0.44 is 0.6700. So required z-score is 0.44.