Question

Pode of the shaded region. The gronto the right comes and those so we really date with a 100 and a standard deviation of 15 The other hand region und te decimal

Answer 1

Solution :

Given that,

mean = $\mu$ = 100

standard deviation = $\sigma$ = 15

P (x > 105 )

= 1 - P (x < 105 )

= 1 - P ( x -  $\mu$/ $\sigma$ ) < ( 105 - 100 / 15)

= 1 - P ( z < 5 / 15 )

= 1 - P ( z < 0.33 )

Using z table

= 1 - 0.6306

= 0.3694

Probability = 0.3694