At the Skittles factory, a bag of Skittles is filled by a mechanical scoop. The scoop picks up 9, 10, 11, or 12 Skittles (with equal probability of each number) and pours them into the bag; this is repeated a total of 5 times, resulting in a bag which contains between 45 and 60 Skittles. (a) Find Var[S], where S is the number of Skittles scooped up by the scoop. (b) Find Var[B], where B is the total number of Skittles in the bag.

At the Skittles factory, a bag of Skittles is filled by a mechanical scoop. The scoop picks up 9, 10, 11, or 12 Skittles (with equal probability of each number) and pours them into the bag; this is repeated a total of 5 times, resulting in a bag which contains between 45 and 60 Skittles. (a) Find Var[S], where S is the number of Skittles scooped up by the scoop. (b) Find Var[B], where B is the total number of Skittles in the bag.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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