11. The time taken to assemble a car in a certain plant is a random variable having a normal distribution with ahours and a standard deviation of 2 hours. What is the probability that a car can be assembled at this plant in time
12. A radar unit is used to measure speeds of cars on a motorway. From past testing, the speeds are assumed distributed with a mean of 90 km/hr and a standard deviation of 10 km/hr. a. Assuming the speeds have not changed, what is the probability that a car picked at random is travelling at more than 100 km/hr?b. Assuming the speeds have not changed, what is the probability that a car picked at random is travelling at more than 110 km/hr?c. If a randomly selected car is found to be driving at 132 km/hr, what might be concluded? Explain and justify your answer.
13. Entry to a certain University is determined by a national test. The scores on this test are normally distributemean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that hbetter than at least 70% of the students who took the test. Tom takes the test and scores 585. Will he be admiuniversity? Explain your answer.