Suppose that the age of students at George Washington Elementary school is uniformly distributed between 6 and 11 years old. 36 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ U( Suppose that 47 children from the school are surveyed. Then the sampling distribution is b. What is the distribution of ¤? ã ~ N( c. What is the probability that the average of 47 children will be between 8 and 8.4 years old?

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