25 17 13 06 25 17 13 06 SolutionP Z X 0591 Value of z to
2.5
1.7
1.3
0.6
| 2.5 | ||
| 1.7 | ||
| 1.3 | ||
| 0.6 |
Solution
P ( Z < X ) = 0.591
Value of z to the cumulative probability of 0.591 from normal table is -0.23
P( X-u/s.d < X - 5/ s.d ) = 0.591
That is, ( 4.42 - 5/ s.d ) = -0.2301
--> s.d = ( 4.42 - 5 ) / -0.2301
--> s.d = ( -0.58 ) / -0.2301
--> s.d = 2.5204 ~ 2.5
