In a normal distribution with a mean of 100 and a standard deviation of 5, what percentage of data values are bigger than 105

Answer 1

Prob ( x > 105) = 1 - Prob ( x < 105)

= 1 - Prob ( z < (105-100)/5 )

= 1 - Prob (z < 1)

= 1 - 0.841345

= 0.158655

= 15.8655%