Cheese Lover II - QuantGuide

Cheese Lover II

Easy

Probability

Jon loves cheese. He decides to make

100

blocks of cheese. The distribution of the weight (in grams) of each block he makes follows IID Exp

\left(\dfrac{1}{250}\right)

distribution. Let

W_i

denote the weight of the

i

th block of cheese, and

T_{100}

represent the total weight of the

100

blocks of cheese. Using Chebyshev's Inequality, what is an upper bound on

\mathbb{P}[T_{100} > 30000]

Notes

Hint

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Question Contribution

Cheese Lover II

Easy

Probability

Jon loves cheese. He decides to make

100

blocks of cheese. The distribution of the weight (in grams) of each block he makes follows IID Exp

\left(\dfrac{1}{250}\right)

distribution. Let

W_i

denote the weight of the

i

th block of cheese, and

T_{100}

represent the total weight of the

100

blocks of cheese. Using Chebyshev's Inequality, what is an upper bound on

\mathbb{P}[T_{100} > 30000]

Notes

Hint