1.The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours.Calculate the following:

a) A random movie is between 1.8 and 2.0 hours.

b) A movie is longer than 2.3 hours.

c) The length of movie that is shorter than 94% of the movies.

2.IQ scores of people around the World are normally distributed, with a mean of 100 and a standard deviation of 15. A genius is someone with an IQ greater than or equal to 140. What percent of the population is considered genius?

3.The Weights of 100 remote control cars at a competition are approximately normally distributed. The average weight is 3.2kg, with a standard deviation of 0.4kg.

a)How many remote control carswould be disqualified if it were against the rules to have a carwith a weightof more than 4kg or less than 2.4kg?

b) A car is said to be in the 90thpercentile.How much does it weigh?