Answer:
The probability mass function is
![F(x) = [ \left \ 8 } \atop {x}} \right. ] * p^x * q^{n - x }](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%20%5B%20%5Cleft%20%5C%208%20%7D%20%5Catop%20%7Bx%7D%7D%20%5Cright.%20%5D%20%2A%20p%5Ex%20%20%2A%20%20q%5E%7Bn%20-%20x%20%7D)
Step-by-step explanation:
From the question we are told that
The maximum transmission time is 
Generally the number of times a packet is transmitted follows a binomial distribution given that the the results of successive transmissions are independent of one another and that the probability of any particular transmission being successful is p
Generally the probability mass function is mathematically represented as
![F(x) = [ \left \ 8 } \atop {x}} \right. ] * p^x * q^{n - x }](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%20%5B%20%5Cleft%20%5C%208%20%7D%20%5Catop%20%7Bx%7D%7D%20%5Cright.%20%5D%20%2A%20p%5Ex%20%20%2A%20%20q%5E%7Bn%20-%20x%20%7D)
Here x can take values x = 0 , 1 , 2 , 3 , ... , 7