Self-Check 4.1, 4.2
- Page ID
- 36486
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Self-Check 4.1, 4.2
1. People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs.
|
x |
P(x) |
|
0 |
0.03 |
|
1 |
0.50 |
|
2 |
0.24 |
|
3 |
|
|
4 |
0.07 |
|
5 |
0.04 |
- Describe the random variable X in words.
- For this exercise, what are the values of x?
- Find the probability that a customer rents three DVDs.
- Find the probability that a customer rents at least four DVDs.
- Find the probability that a customer rents at most two DVDs.
- On average, how many DVDs would you expect a customer rent?
- What is the standard deviation?
1
Self-Check 4.1, 4.2
- Suppose you play a game with a spinner. You play each game by spinning the spinner once. P(red) = 25, P(blue) = 25, and P(green) = 15. If you land on red, you pay $10. If you land on blue, you don't pay or win anything. If you land on green, you win $10. Over the long term, what is your expected profit of playing the game?
- On May 11, 2013 at 9:30 PM, the probability that moderate seismic activity (one moderate earthquake) would occur in the next 48 hours in Iran was about 21.42%. Suppose you make a bet that a moderate earthquake will occur in Iran during this period. If you win the bet, you win $50. If you lose the bet, you pay $20. Let X = the amount of profit from a bet. If you bet many times, will you come out ahead?