4.77 A random variable X has a mean = 10 and a variance 2 = 4. Using Chebyshevs theorem, find (a) P(|X 10|

4.77 A random variable X has a mean μ = 10 and a variance σ2 = 4. Using Chebyshev’s theorem, find

(a) P(|X − 10| ≥ 4);

(b) P(|X − 10| < 4);

(c) P(4 < X < 16);

(d) the value of the constant c such that P(|X −10| ≥

c) ≤ 0.05.