For a particular Java assemble interface, the operand stack size is $4.$

a$)$ Use Markow's inequality to estimate the probability that the stack size is at least $6.$

b$)$ A different lava assembler interface is known to have the same mean, but the variance of the

assembler is known to be $1\mathrm{.}5.$ Its distribution is unknown. Use Chebyshev's inequality to obtain an

interval that includes $95\%$ of stack sizes of this assembler.

c$)$ Compare the results in $($b$)$ with what you would get if you knew that the distribution of the stack size

was a normal distribution.