1. Find the probability that a normal variable takes on values more than /5 standard deviations away from its mean. (Round your answer to four decimal places.) 2. LSAT test scores are normally distributed with a mean of 148 and a standard deviation of 4. Find the probability that a randomly chosen test-taker will score between 136 and 156. (Round your answer to four decimal places.) 3. Calculate the standard deviation a of X for the probability distribution. (Round your answer to two decimal places.) X -5 -1 5 10 P(X = X) 0.3 0.2 0.3 D. 1 0.1 0 4. Hispanic Employment: Male The following table shows the approximate number of males of Hispanic origin employed in the United States in a certain year, broken down by age group. Age 15-24.9 25-54.9 55-64.9 Employment (thousands) 28,000 17,000 2,300 (a) Use the rounded midpoints of the given measurement classes to compute the expected value and the standard deviation of the age X of a male Hispanic worker in the United States. (Round your answers to two decimal places.) expected value yrs old standard deviation yr (b) In what age interval does the empirical rule predict that 68 percent of all male Hispanic workers will fall? (Round youranswers to the nearest year.)5. The random variable X has the probability distribution table shown below. X 3 5 11 P(X = X) 0.2 0.2 a 0.2 (a) Assuming P(X = 7) = P(X = 9), find each of the missing values. a =] (b) Calculate P(X 2 7) and P(3