- #1
hholzer
- 37
- 0
Problem: At a state university in Maryland, there is hardly enough space
for students to park their cars in their own lots. Jack, a student who parks
in the faculty parking lot every day, noticed that none of the last 10 tickets
he got was issued on a Monday or a Friday. Is it wise for Jack to conclude
that the campus police do not patrol the faculty parking lot on Mondays and
on Fridays? Assume that police give no tickets on weekends.
Solution: Suppose that the answer is negative and the campus police patrol
the parking lot randomly; that is, the parking lot is patrolled every day with
the same probability. Let A be the event that out of 10 tickets given on
random days, none is issued on a Monday or on a Friday. If P(A) is very small,
we can conclude that the campus police do not patrol the parking lot on these
two days. [...]
I don't follow that conclusion. Why can we conclude such if P(A) is small?
If P(A) is small, then shouldn't this be taken to mean that receiving a ticket
on one of the weekdays besides Monday or Friday is very low?
for students to park their cars in their own lots. Jack, a student who parks
in the faculty parking lot every day, noticed that none of the last 10 tickets
he got was issued on a Monday or a Friday. Is it wise for Jack to conclude
that the campus police do not patrol the faculty parking lot on Mondays and
on Fridays? Assume that police give no tickets on weekends.
Solution: Suppose that the answer is negative and the campus police patrol
the parking lot randomly; that is, the parking lot is patrolled every day with
the same probability. Let A be the event that out of 10 tickets given on
random days, none is issued on a Monday or on a Friday. If P(A) is very small,
we can conclude that the campus police do not patrol the parking lot on these
two days. [...]
I don't follow that conclusion. Why can we conclude such if P(A) is small?
If P(A) is small, then shouldn't this be taken to mean that receiving a ticket
on one of the weekdays besides Monday or Friday is very low?