Week 4 Flashcards
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Let 𝑋 represent Irina’s arrival time and let 𝑌represent Anna’s arrival time. 𝑋 and
𝑌 are uniformly distributed over the hour interval, and the two variables are independent
Therefore, the joint probability density function is the product of the two probability density
functions.
We are asked to calculate the probability that |𝑋 − 𝑌| < 15. The following diagram shows all
combinations of equally-likely arrival times:
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