Terry works as a walking-tour guide in Boston. If the tour receives more than 300 people in a week, Terry earns $1,200. If the tour receives between 150 and 299 people in a week, Terry earns $850. If the tour receives under 150 people in a week, Terry earns $600.
The probability of tourist numbers are:
>300 tourists: 50%
150-299 tourists: 30%
<150 tourists: 20%
For each of these responses, show your work:
A) What is Terry's expected weekly earnings?
B) If Terry works 50 weeks out of the year, what is Terry's expected annual earnings?
C) What is the standard deviation of Terry's weekly earnings?
In Berlin, Terry's cousin Chris also hosts a walking-tour. Chris's average weekly earnings are €600 and Chris's standard deviation of earnings is €225.
D) Does Terry or Chris have more 'risk' in their expected earnings? Show your work and explain why: