A random sample of sizen= 150 is taken from an infinite population with mean=5 and variance 10. a. Use the result of the Central Limit Theorem to determine the probability that X will fall between 4.5 and 5.2. b. Would your answer to part "a" change if the population variance is unknown and we estimate the population variance using the sample variance = 10? Explain your answer and be sure to discuss any assumptions needed.

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