a$.$ Write short note on the following

$\backslash$table$[[$i$.,$Binary Symmetric Source BSS$,$Mks $2],[$ii$.,$Binary Symmetric Channel BSC$,$Mks $2],[$iii$.,$Raw Bit Error Probability,Mks $2]]$

b$.$ For a source that has a rate of $R=\frac{1}{3},$ and its first five bits were $10100.$

i$.$ For a perfect$/$noise$-$free channel, show and explain what would be the received bits at the receiver's side

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ii$.$ For a noise channel, derive the generalized bit error probability $P_e$

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iii. Has the coding in $1$b$.$ improved or not the channel's reliability? Discuss

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Give the pronerties of information

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$2.$

a$."$It is easy to see that that higher channel reliability can be achieved by repeating each bit more times." Establish or proof the obove statement assuming a source rate given as $R=\frac{1}{2n+1}$

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b$.$ Discuss the Q$2$a$.$ above using the weak law of large number

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c$.$ Discuss the units of information

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