The pre-cooked weight of hamburgers at a restaurant has been found to be uniformly distributed between 4.1 and 4.9 ounces. Let X be a random variable for the pre-cooked weight of a randomly selected hamburger.
- A dining-column journalist from the local newspaper comes to the restaurant and buys a hamburger. What is the probability that the hamburger had a pre-cooked weight of less than 4.3 ounces?
- In a separate visit to the restaurant, the dining-column journalist is accompanied by three colleagues. Each person orders one hamburger. What is the probability that at least 2 of these 4 customers will get a hamburger that had a pre-cooked weight of more than 4.8 ounces? Make sure to define the random variable under consideration.