Solve what is being asked regarding properties of normal distributions. Show your complete solution and graph the normal curve. 1. A random variable X has a normal distribution with mean 50 and variance 10. Find the average scores that lies: a. within one standard deviation from the mean b. within two standard deviations from the mean 2. For the random variable described in (1), Find: a. the lowest score which lies two standard deviations above the mean b. the highest score which lies three standard deviations below the mean