# Limits using Chebyshev's Inequality

1.

a. For E[X] = 7, var(X) = 9, use Chebyshev's to get lower bound for P(4 <= X <= 10).

b. Using the mean/variance from part (a) to get smallest & largest values of P(4 < X < 10).

See the attached file.

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#### Solution Preview

a. For E[X] = 7, var(X) = 9, use Chebyshev's to get lower bound for P(4 <= X <= 10).

b. Using the mean/variance from part (a) to get smallest & largest ...

#### Solution Summary

The solution determines limits using Chebyshev's inequality.

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