Johns is a welding student attending the JD Campus of MGCCC

John\'s is a welding student attending the JD Campus of MGCCC. His commute time to the campus via Lorraine Road during the week follows the normal probability distribution based on the table values to the right. What is the probability that the commute time for a randomly selected day will be between the values indicated below?

26 minutes to 35 minutes

Commute (minutes)

µ = 21
= 4

Solution

John\'s is a welding student attending the JD Campus of MGCCC. His commute time to the campus via Lorraine Road during the week follows the normal probability distribution based on the table values to the right. What is the probability that the commute time for a randomly selected day will be between the values indicated below?     26 minutes to 35 minutes

µ = 21
= 4

z value for 26, z=(26-21)/4=1.25

z value for 35, z=(35-21)/4=3.5

P( 26< x <35)= P( 1.25< z <3.5)

P( z < 3.5) – P( z < 1.25)

= 0.9998 - 0.8944

=0.1054

The required P=0.1054