Question: 2. A random variable X is distributed with mean 16 and standard deviation 3. Using Chebyshevs inequality, find lower or upper bounds for the following

2. A random variable X is distributed with mean 16 and standard deviation 3. Using Chebyshev’s inequality, find lower or upper bounds for the following probabilities:

(a) P(|X − 16| ≤ 6)

(b) P(|X − 16| ≥ 7.5)

(c) P(11.5 ≤ X ≤ 20.5)

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