1. Suppose that we know that the height of a woman chosen at random is a random variable coming 'om a normal distribution with mean 66. variance 9. (Height is measured in inches.) Find {a} the probability that the height of a woman chosen at random will be between 64 and 69, (b) the probability that the average of the heights of 1D women chosen at random will be between 4 and g, {c} the probability that the average of the heights of 144 women chosen at random will be between 64 and 69. (d) Comment on the relationship between your answers to (a), (b) and (c)