A rendom variable is normally distributed with a mean of =90 and a standard deviation of =5. (a) The follawing figure shows that the normal curve almost touches the horizontal axis at three standard deviations below and at three standard deviations above the mean (in this case at 75 and 105 ). Artan undes the Curve for any Normal Distribution Sketch a normal curve for the probability density function. Label the horizontal axis with values of 75,80,85,90,95,100, and 105. (b) What is the probability the random variable will assume a value between 85 and .95 ? (Round your answer to three decimal places.) c) What is the probability the random variable will assume a value between 80 and 100 ? (Round your answer to three decimal places.)