5. A random variable X has a mean a = 30 and variance 02 = l. [a] Find the (smallest) value of the constant e such that the probability estimate PIEIX - 30] E c] E 1 f 9 is guaranteed to hold by Chebyshev's theorem. {b} Again use Chebyshev's theorem to estimate the following probability: Ple - ml t: 3} E ? [c] If it is known in addition that X is a symmetric random variable [the density is symmetric about the mean value 30}, use Chebyshev's theorem again to estimate: P[X E 14} E