Determine the mean and standard deviation of the variable X in each of the following binomial distributions.

a$.$ nequals$=55$ and pi$\backslash$pi equals$=0\mathrm{.}200\mathrm{.}20$

b$.$ nequals$=55$ and pi$\backslash$pi equals$=0\mathrm{.}400\mathrm{.}40$

c$.$ nequals$=55$ and pi$\backslash$pi equals$=0\mathrm{.}100\mathrm{.}10$

d$.$ nequals$=44$ and pi$\backslash$pi equals$=0\mathrm{.}100\mathrm{.}10$

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Part $1$

a$.$ When nequals$=55$ and pi$\backslash$pi equals$=0\mathrm{.}200\mathrm{.}20,$ determine th