Suppose that the average amount of ice cream that children eat at birthday parties is 3.6 oz, with a standard deviation of 1.2 oz. Jose is having a party with 32 children and needs to determine how much ice cream to buy. a) Describe the distribution of sample means by naming the model, and identifying the mean and the standard deviation. b) What is the probability that the children at the party will eat an average of more than 5 oz? Show work, including a picture... c) If Jose buys a 1 gallon tub (128 oz), what is the probability that he will not have enough ice cream if all of the children eat as much as they like. Show work, including a picture..

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