The heights of male students are normally distributed with a mean of 158 cm and a standard deviation of 5 cm.

Find the percentage of male students who are between 145 cm and 170 cm.

Round your

answers to the nearest hundredths.

The percentage of male students who are between 145 cm and 170 cm = 98.71%

Step-by-step explanation:

Let x denotes the height of male students.

As per given,

The probability of male students who are between 145 cm and 170 cm

=

Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1