Answer:
6 times we need to transmit the message over this unreliable channel so that with probability 63/64.
Step-by-step explanation:
Consider the provided information.
Let x is the number of times massage received.
It is given that the probability of successfully is 1/2.
Thus p = 1/2 and q = 1/2
We want the number of times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once.
According to the binomial distribution:
We want message is received at least once. This can be written as:
The probability of at least once is given as 63/64 we need to find the number of times we need to send the massage.
By comparing the value number we find that the value of n should be 6.
Hence, 6 times we need to transmit the message over this unreliable channel so that with probability 63/64.