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Probability Mass Function Question 1. Transmitter transmits with some probabilities of some messages. P[X=x] = {...

Probability Mass Function Question

1. Transmitter transmits with some probabilities of some messages.

P[X=x] = { 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, 1/128}

Messages = { I, YOU, WE, ME, THEY, HE, SHE, IT}

Probability is corresponding.

(a) What is the probability that exactly 2 vowels are received when two messages are transmitted.

(b) Probability that out of 5 messages, we have received atleast one H.

(c) On an average, when we Receive 5 messages, what is the expected length of messages.

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