Answer:
The expected number of students is 79
Step-by-step explanation:
She find that she can model the data with the normal distribution. The formula for normal distribution is expressed as
z = (x - u)/s
Where
x = the time it takes for Ivy Tech students to travel to school.
u = mean time
s = standard deviation
From the information given,
u = 27.5 minutes
s = 5.2 minutes
The probability that a student's commute time would be less than 22.3 minutes is expressed as
P(x lesser than 22.3)
For x = 22.3
z = (22.3 - 27.5)/5.2 = - 1
Looking at the normal distribution table, the corresponding value for a z score of - 1 is 0.15866
The number if students out of 500 whose commute time would be less than 22.3 minutes would be
0.15866 × 500 = 79
