Question

What's the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was

38.8F with a standard deviation 1.9F What can you determine about these data by using Chebyshev's Inequality with K=2?

Answer 1

Let be a random variable having finite mean and finite variance. Let (a strictly positive real number). Then, the Chebyshev's inequality is

Here, X is the random variable temperature in certain location for particular day.

Also, mu=38.8, sigma=1.9, K=2

Chebyshev's inequality gives the probability bound for temperature.

i.e.