# Chebysef's Inequality Problem

2. (Moments and Chebyshef's inequality, 8 points) A random variable X has E[X] = 10 and Var[X] = 100.

(a) Find the smallest upper bound for P(X (greater than or equal to) 40)

(b) Can X be a binomial random variable?

(c) Can X be a Poisson random variable?

(d) Can X be Exponential?

https://brainmass.com/statistics/standard-deviation/chebysef-s-inequality-problem-290141

#### Solution Preview

See the attached file. Thanks

a) Var (X) = 100

Standard Deviation (X) = 100^0.5 =10

Now 40 is 3 standard deviation away from the mean. The smallest upper bound for P(X>=40) is determined by the Chebyshef's ...

#### Solution Summary

This solution discusses a problem involving Chebysef's inequality.

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