1.A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events:

The car travels more than 69 miles per gallon. Probability = ________

The car travels less than 58 miles per gallon. Probability = ________

The car travels between 61 and 71 miles per gallon. Probability =________

2.Select True or False

1. A random variableXis normally distributed with a mean of 150 and a variance of 36. Given thatX= 120, its correspondingz score is 5.0 __________
2. Letz1 be azscore that is unknown but identifiable by position and area. If the symmetrical area between z1 and +z1 is 0.9544, the value ofz1 is 2.0________
3. The mean and standard deviation of a normally distributed random variable which has been standardized are one and zero, respectively._________
4. Using the standard normal curve, thezscore representing the 90th percentile is 1.28._________