3) The weights of students in a class are normally distributed with a mean of 130 and a standard deviation of 8. Answer the following with probabilities written to 4 decimal places and x values written 2 decimal places. a) What proportion of students weigh less than 142? b) What proportion of students weigh between 116 and 138? c) What proportion of students weigh more than 110? d) What proportion of students weigh less than 115? e) What is the probability that a student picked at random will weigh more than 134? f) What proportion of weights are within 1.5 standard deviations from the mean? g) What weight cuts off the bottom 40% of the distribution? h) What weight cuts off the top 5% of the distribution