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For a particular Java assembler interface, the operand stack size is 4

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

a) Use Markov’s inequality to estimate the probability that the stack size is at least 6.

b) A different Java assembler interface is known to have the same mean, but the variance of the assembler is known to be 1.5. 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.