✔Question 1 POST OFFICE According to a USPS study, the weight of a randomly selected shipment box has unknown distribution with a mean of 22.7 lbs and a standard deviation of 4.5 lbs. Let X be the weight of a randomly selected shipment box and let S be the total weight of a random sample of size 9. 1. Describe the probability distribution of X and state its parameters and σ: ✓X (μ= 22.7 σ= 4.5 X~N T and find the probability that the weight of a randomly selected shipment box is between 12 and 13 lbs. 0.0069 X (Round the answer to 4 decimal places) 2. Explain why the Central Limit Theorem cannot be used the original population is normally distributed although the sample size is small (n<30)

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