Out of 15 cars, sampled x will be the number of American brand cars. 10 cars out of the 15 were American brand while 5 are a foreign brand, therefore x = 10.

On average, only 54.49 percent of cars on the road in the U.S. have an American make, while a full 45.51 percent hail from overseas.

Let us assume that Insurify is correct, and the population proportion of American cars in America is p = 0.5449. Solve the following (ROUND to 4 decimal places):

1. In a random sample of 15 cars, what is the probability that exactly x will be an American brand? Interpret your results.
2. In a random sample of 15 cars, what is the probability that fewer than x will be an American brand? Interpret your results.
3. In a random sample of 15 cars, what is the probability that more than x will be an American brand? Interpret your results.
4. In a random sample of 15 cars, what is the probability that at least x will be an American brand? Interpret your results.