TEST ON RANDOM VARIABLES
Authored by RAMACHANDRAN VADAKKEMADAM
Mathematics
11th - 12th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1, if the number of spots showing is 6 you win $4 and if the number of spots showing is 1, 2 or 3, you win nothing. Let X be the amount you win. What is the expected value of X?
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day. Based on the records, X has the following probability distribution. What is the average number of customers that the owner can expect to make a purchase in the first hour of opening?
0.2
1.4
2.0
3.0
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Cool TV game show
Players win prizes with probabilities shown:
P($0) = .70
P($500) = .25
P($5,000) = .05
What are the mean and the standard deviation of the prize variable?
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
You pick a card from a deck. If you get a face card, you win $5. If you get an ace, you win $30 plus an extra $60 for the ace of hearts. For any other card you win nothing. Find the expected value you will win.
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Choose an American household at random. What is the expected number of cars for that household?
6.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Is the distribution below a probability distribution? Why or why not?
Tags
CCSS.HSS.MD.A.3
CCSS.HSS.MD.A.4
CCSS.HSS.MD.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
The table represents the probability of guessing correct on a 5 question true-false quiz. Find the probability for at least 4 questions correct.
Tags
CCSS.HSF-LE.A.1C
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