Please show your answer and a draw the graphs.
A radar unit is used to measure speeds of cars on a motorway.The speeds are normally distributed with a mean of 90 km/hr and astandard deviation of 10 km/hr. What is the probability that a carpicked at random is travelling at more than 100 km/hr?
For a certain type of computers, the length of time bewteencharges of the battery is normally distributed with a mean of 50hours and a standard deviation of 15 hours. John owns one of thesecomputers and wants to know the probability that the length of timewill be between 50 and 70 hours.
Entry to a certain University is determined by a national test.The scores on this test are normally distributed with a mean of 500and a standard deviation of 100. Tom wants to be admitted to thisuniversity and he knows that he must score better than at least 70%of the students who took the test. Tom takes the test and scores585. Will he be admitted to this university?
