5. A fair 10-sided die is rolled; let D10 be the number that comes up. Find E[min{D10, 6}].(If the notation is not clear: min{x,y} just refers to the smaller of the two numbers, x and y.This notation is not unique to probability, but it comes up more often in probability problems.)

We want to find the expected value of the minimum between the roll of the 10-sided die and 6, i.e.,…

5. A fair 10-sided die is rolled; let D10 be the number that comes up. Find E[min{D10, 6}]. (If the notation is not clear: min{r, y} just refers to the smaller of the two numbers, x and y. This notation is not unique to probability, but it comes up more often in probability problems.)

5. A fair 10-sided die is rolled; let D10 be the number that comes up. Find E[min{D10, 6}]. (If the notation is not clear: min{r, y} just refers to the smaller of the two numbers, x and y. This notation is not unique to probability, but it comes up more often in probability problems.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 30E

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Question

5. A fair 10-sided die is rolled; let D10 be the number that comes up. Find E[min{D10, 6}].
(If the notation is not clear: min{x,y} just refers to the smaller of the two numbers, x and y.
This notation is not unique to probability, but it comes up more often in probability problems.)

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