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Continuous random variables and the normal distribution — Question 140

Original QCE Vault practice · 5 marks

Q140 · Practice questionTechnology-activeComplex unfamiliar5 marks

QUESTION 140 (5 marks)

Let X∼N(50,42)X\sim N(50,4^2) and Y∼N(60,62)Y\sim N(60,6^2). Determine the value kk for which P(X>k)=P(Y<k)P(X>k)=P(Y<k). Hence determine this common probability.
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