IEEE Transactions (June 1990) presented a hybrid algorithm for solving polynomial 01 mathematical programming problems The solution time (in seconds) for a randomly selected problem solved using the hybrid algorithm has a normal probability distribution with mean 8 second and 1 5 seconds Consider a random sample of n 30 problems solved with the hybrid algorithm a Describe the sampling distribution of S 2 , the variance of the solution times for the 30 problems b Find the approximate probability that S 2 will exceed 3 30

Question: IEEE Transactions (June 1990) presented a hybrid algorithm for solving polynomial 01 mathematical programming problems. The solution time (in seconds) for a randomly selected problem

IEEE Transactions (June 1990) presented a hybrid algorithm for solving polynomial 0–1 mathematical programming problems. The solution time (in seconds) for a randomly selected problem solved using the hybrid algorithm has a normal probability distribution with mean μ = .8 second and σ = 1.5 seconds. Consider a random sample of n = 30 problems solved with the hybrid algorithm.

a. Describe the sampling distribution of S², the variance of the solution times for the 30 problems.

b. Find the approximate probability that S² will exceed 3.30.

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