Let A₁, A2,.... Ak be k events, then we have the Bonferroni inequality: k P[4] 21-P[A] - We want to apply this inequality to construct simultaneous confidence interval for contracts of means. Consider independent 1, for i = 1.2.3 and j = 1.2.....,, where Y,,~ N(₁.2). Describe how to construct simultaneous confidence intervals for 1 and ! (1₂ - 13) with confidence of at least 0.95% (Note: you need to to write down explicit formulae for notations)