Problem 3. The net contents in ounces of canned soup is a random variable with probability distribution 4(x 11.75) 11.75 g a: g 12.25 402.75 2) 12.25 g a: g 12.75 31%) = { f{3} is zero elsewhere. Find the probability that a can contains less than 12 oz of soup. Problem 4. For normally distributed random variable with mean 1 and standard deviation 1. Find the probability of this variable is larger than 4.5 0R smaller than -2.5. Problem 5. We have temperature measurements every 2 minutes on an intermediate chemical product: 491. 482, 490. 495, 499, 499, 507, 503. 510, 509. [1) Compute the autocorrelation function with lag 1, 2, and 3. [2) Is there signicant autocorrelation in the data