A computer selects a number XX from 4 to 12 randomly and uniformly. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ U(,) Suppose that the computer randomly picks 37 such numbers.  What is the distribution of ¯xx¯ for this selection of numbers. ¯xx¯ ~ N(,) What is the probability that the average of 37 numbers will be less than 7.4?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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A computer selects a number XX from 4 to 12 randomly and uniformly. Round all answers to 4 decimal places where possible.

  1. What is the distribution of XX? XX ~ U(,)
  2. Suppose that the computer randomly picks 37 such numbers.  What is the distribution of ¯xx¯ for this selection of numbers. ¯xx¯ ~ N(,)
  3. What is the probability that the average of 37 numbers will be less than 7.4? 
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