Question: A company produces chalks and \(p\) is the proportion of fragile chalks in their daily production. In order to estimate \(p\) Robert took a sample of size \(n\) and tested them.

1. If \(M_{n}\) is the proportion of fragile chalks in his sample, then use Chebyshev inequality to find an upper bound for \(P\left(M_{n}<3 p / 4\right)\).
2. What is the smallest value of \(n\) for which the Chebyshev inequality yields a guarantee that \(P\left(M_{n}>p+1 / 4\right) \leq 0.05\)

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