Problem

$1$

$.$

$$Questions

$1$

$,$

$2$

$,$

$3$

$,$

$4$

$,$

$$and

$5$

You have a truck food and

$2$

$$options to set your truck for the day: near the stadium or

downtown. The problem is that there is some kind of event in the stadium, but you are

unsure if it is a music event or a sports event. Looking at your records, for a sports

event, it is better to stay near the stadium since you get around

$1000$

$$benefits while in

the downtown you will get around

$300$

$.$

$$For music events, it is better to stay in the

downtown since you benefits are around

$800$

$$while near the stadium is only

$400$

$.$

In addition, you recall past events in the stadium and the musical event are rarer, since

$70$

$\%$

$$of the time it is a sports event.

Another option is to check early which kind of people are around the stadium before the

event. If the event was music, the people will be younger than usual

$80$

$\%$

$$of the time. If

the event is sports, the people will be older than usual

$70$

$\%$

$$of the time.

What is the difference of expected benefits with and without checking?

a$.$ Equal or bigger than $0,$ lower than $20$

b$.$ Equal or bigger than $20,$ lower than $50$

c$.$ Equal or bigger than $50,$ lower than $100$

d$.$ Equal or bigger than $100$