Chebyshev’s inequality (Section 2.4) states that for any random variable X with mean μ and variance σ², and for any positive number k, P(|X − μ| ≥ kσ) ≤ 1/k². Let X ȼ N(μ, σ²). Compute P(|X − μ; μ| ≥ kσ) for the values k = 1, 2, and 3. Are the actual probabilities close to the Chebyshev bound of 1/k², or are they much smaller?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Chebyshev’s inequality (Section 2.4) states that for any random variable X with mean μ and variance σ², and for any positive number k, P(|X − μ| ≥ kσ) ≤ 1/k². Let X ȼ N(μ, σ²). Compute P(|X − μ; μ| ≥ kσ) for the values k = 1, 2, and 3. Are the actual
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