A random sample of size n₁ = 14 is selected from a normal population with a mean of 75 and a standard deviation of 7. A second random sample of size n₂-9 is taken from another normal population with mean 70 and standard deviation 12. Let X₁ and X₂ be the two sample means. Find: (a) The probability that X₁ X₂ exceeds 3. (b) The probability that 4.8 < X₁ X₂ ≤ 6.0. Round your answers to two decimal places (e.g. 98.76). (a) i (b)

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