1) Transportation officials tell us that 90% of drivers wear seatbelts while driving. What is the probability that between 525 and 530 drivers in a sample of 600 drivers wear seat belts?
The answer is 0.0811, but I'm having a hard time figuring out how they got to this answer. If someone can explain their steps to get to this answer, it would be much appreciated! Thanks!
2) The weight of corn chips dispensed into a 12-ounce bag by the dispensing machine has been identified as possessing a normal distribution with a mean of 12.5 ounces and a standard deviation of 0.3 ounce. Suppose 100 bags of chips are randomly selected. Find the probability that the mean weight of those 100 bags exceeds 12.6 ounces.
The answer is approximately 0, but I am also having a hard time getting to the answer.