According to a survey by paint manufacturer, DuPont, 22% of all cars in the United States are red. Suppose 20 cars are randomly selected and the number of red cars are recorded. Round probabilities to 4 decimal places.
- Explain why this is a binomial experiment.
- Find and interpret the probability that exactly 6 cars are red.
- Find and interpret the probability that fewer than 6 cars are red.
- Find and interpret the probability that at least 6 cars are red.
- Compute the mean and standard deviation of the binomial random variable.
Please show work