Bits are sent over a communications channel in packets of 12. If the probability of a bit being
corrupted over this channel is 0:1 and such errors are independent, what is the probability that
a)No more than 2 bits in a packet are corrupted?

b)If 6 packets are sent over the channel, what is the probability that at least one packet will
contain 3 or more corrupted bits?

c)Let X denote the number of packets containing 3 or more corrupted bits. What is the
probability that X will exceed its mean by more than 2 standard deviations?

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