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A student is choosing between two part-time jobs based on weekly earnings (in dollars). The random variables \(X\) and \(Y\) represent the earnings for Job A and Job B, respectively, with:
  • Expected earnings: \(E(X) = 150\) for Job A and \(E(Y) = 175\) for Job B
  • Standard deviation: \(\sigma(X) = 10.5\) for Job A and \(\sigma(Y) = 25.8\) for Job B
The student wants to minimize variability in their earnings (stable income). Which job should they choose, and why? Justify your answer based on the given expected earnings and standard deviations.
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