A local car wash specializes in quick car washes. When a car arrives, there is a promised completion time. We assume that cars arrive independent of each other as are times to complete the wash. We assume also that the probability of a car being late (not being finished by the promised completion time) is the same for each car. Based on observations of the process we know that P(car islate) = 0.20 Determine the probability thatexactly 4 of the next 15 cars washed arelate.

90 percent of patients in the emergency room at the local hospital are insured. In a random sample of 100 patients, what is the probability that exactly 12 will be uninsured?

90 percent of patients in the emergency room at the local hospital are insured. In a random sample of 100 patients, what is the probability that 85 or more will beinsured?

In the early 1960's, the height of adult men in the United States was approximately normally distributed with an average height of 68.2 inches and a standard deviation of 2.6 inches. What was the probability that a randomly chosen US adult man would be six feet (72 inches) tall or taller?

In the early 1960's, the height of adult women in the United States was approximately normally distributed with an average height of 63.0 inches and a standard deviation of 2.8 inches. What was the probability that a randomly chosen US adult woman would be between 5 foot one (61 inches) and 5 foot six (66 inches) tall?

Betty has just returned home from a discussion with her mechanic about her Vintage Z3. Her mechanic tells her that he thinks the ignition coils (there are 4 of them) in her car are in poor shape and are going to fail and thus should be replaced. Furthermore, he tells her that on any given morning, there is a 6% chance that a specific coil will not work. He believes this is true for each of the four coils in the engine - they are all in poor shape. He also tells her that if one fails, the engine will likely run okay, but if there aren't at least 3 operating coils, the engine will not start. Assume coil failures are independent of each other. What is the probability that her car will start, based on the mechanic's information?

Your favorite basketball player has an 90% free-throw percentage. In the next game that s/he plays they shoot 12 free throws. What is the probability that they make all 12?

A bottle of water is advertised as containing a liter of water. However, after testing a few hundred bottles, you find the average amount of water is normally distributed and contains 1.07 liters on average with a standard deviation of 0.05. Based on your testing, what percent of bottles have at least 1 liter?

A bottle of water is advertised as containing 1 liter of water. However, after testing a few hundred bottles, you find the average amount of water is normally distributed and contains 1.07 liters on average with a standard deviation of 0.05. What percent of bottles have exactly 1 liter?

A factory manufactures items with sizes that are normally distributed with mean 25 inches and standard deviation 0.2 inch. An item is considered to be defective if its size is less than 24.6 inches or greater than 25.9 inches. What percent will be found to be defective?