The random variable x has a normal distribution with µ = 1,000 and σ = 10. a. Find the probability that x assumes a value more than 2 standard deviations from its mean. More than 3 standard deviations from µ. b. Find the probability that x assumes a value within 1 standard deviation of its mean. Within 2 standard deviations of µ. c. Find the value of x that represents the 80th percentile of this distribution. The 10th percentile.