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Competitive Stats
Q24Section I (Objective (Q1–Q80))24 of 80

Probability — distribution of the difference of independent normals

Two independent random variables X and Y are both normally distributed with means 1 and 2 and standard deviations 3 and 4 respectively. If Z=X−YZ = X - Y, then consider the following statements:

  1. Median and standard deviation of ZZ are −1-1 and 55 respectively
  2. P(Z+1<0)=0.5P(Z+1 < 0) = 0.5

Which of the above statements is/are correct?

Options

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.