Reference no: EM132857488
Question: Binomial Probability:
It is senior year and you've decided that, after a successful junior year living off campus, you want to stay in your apartment on Foster Street instead of moving back to campus. You don't have a parking spot because you don't always have your car in the area, but in a pinch you can park in front of your apartment in the loading zone for short periods and most times you won't get a ticket for illegal parking. You've kept track: over the entire junior year, you parked your car in the loading zone 20 times and only were tagged with 4 tickets.
Now, your parents have brought your car for parents' weekend, and you'll bring it home at fall break, which is 8 days away. You'll need to park in the loading zone every one of those 8 days for at least a little bit.
a. Based on what you've learned since living in that apartment (and assuming nothing's changed this year), what is the probability you get a ticket the next time you park in the loading zone? Please give an exact numerical answer, and briefly explain why you get this answer (1 sentenc maximum).
b. What is the probability you get exactly one illegal parking ticket during this car's "visit"? Fill in the formula completely, but do not solve the equation. (No explanation necessary.)
c. Your parents will be quite mad if you get two or more tickets while your car is in Brighton. What is the simplest way to calculate the probability of that happening? Just set up the formula (with all preliminary numbers filled in); do not solve the equation. (No explanation necessary.)
d. Imagine you've been able to get away with parking in the loading zone the first six days. But just as you're pulling away on the sixth day, you have a close encounter with the Boston Parking Department ticketer. You're pretty sure they've caught on to you, so you think your probability of getting caught parking illegally has doubled for days 7 and 8. What's your probability of getting a ticket on both day 7 and 8, given that you've had no tickets the first six days? Give an exact numerical answer. Briefly explain
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