3. (6 pts) Fire department response time is the length of time it takes a fire truck to arrive at
the scene of a fire starting from the time the call was given to the truck. Response time
for the Castle Wood Fire Department follows a mound shaped and symmetrical
distribution. The response time has mean = 8.8 minutes with standard deviation o=
2.1 minutes. If a random sample of 32 response times is taken and the mean response
time is computed, find each of the following.
a. P(x ≥9)
b. P(8≤x≤9)