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 a hot dog stand often purchase more than one hot dog. The probability distribution for purchases of number of hot dogs per customer at a hot dog stand is given the table.
| 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 hot dogs.
- Find the probability that a customer purchases at least four hot dogs.
- Find the probability that a customer purchases at most two hot dogs.
OpenStax Introductory Statistics 2e, 4.3 Binomial Distribution, exercise 26