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Elizabeth’s Mario Kart Lap Times in Integer Seconds are Uniformly Distributed over the Range 43 to 52 Inclusive: Probability Homework, UCD, Ireland

University University College Dublin (UCD)
Subject Statistics and Probability

On a given day, Elizabeth’s Mario Kart lap times in integer seconds are uniformly distributed over the range 43 to 52 inclusive. She wants to set a good time to tell her friends so she decides to play on three different days and to declare her time as the minimum K of the respective times K1, K2, and K3.

(i) Calculate the PMF of K.

(ii) By how much has her expected time in integer seconds improved as a result of her strategy?

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