Use the following information to answer the next four exercises. Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that they truly have the flu (and not just a nasty cold) is only about 4%. Of the next 25 patients calling in claiming to have the flu, we are interested in how many actually have the flu.
People visiting video game rental stores often rent more than one game at a time. The probability distribution for game rentals per customer at Game Stop is given the table. There is five-game limit per customer at this store, so nobody ever rents more than five video games.
| 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.
- Find the probability that a customer purchases three games.
- Find the probability that a customer purchases at least four games.
- Find the probability that a customer purchases at most two games.
OpenStax Introductory Business Statistics 2e, 4.2 Binomial Distribution, exercise 19