Assume that the probability of error-free transmission of a message over a communication channel is p. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that: a) No retransmission is required. b) Exactly two retransmissions are required

This question is incomplete, the complete question is;

Assume that the probability of error-free transmission of a message over a communication channel is p=0.9. If a message is not transmitted correctly, a retransmission is initiated. This procedure is repeated until a correct transmission occurs. Such a channel is often called a feedback channel. Assuming that successive transmissions are independent, what is the probability that:

a) No retransmission is required.

b) Exactly two retransmissions are required

a) probability that No retransmission is required is  0.90

b) the probability that exactly two retransmissions are required is 0.009

Step-by-step explanation:

Given the data in the question;

the probability of error-free transmission of a message over a communication channel is p = 0.9

a) probability that No retransmission is required will be;

Let x represent the error-free transmission of a message

Now, the P( error-free_transmission_of_a_message) = 0.90

so;

P( X=0 ) = 0.90( 1 - 0.90 )⁰

P( X=0 ) = 0.90( 0.1 )⁰

P( X=0 ) = 0.90( 1 )

P( X=0 ) = 0.90

Therefore, probability that No retransmission is required is  0.90

b) Probability that exactly two retransmissions are required will be;

P( X=2 ) = 0.90( 1 - 0.90 )²

P( X=2 ) = 0.90( 0.1 )²

P( X=2 ) = 0.90( 0.01)

P( X=2 ) = 0.009

Therefore, the probability that exactly two retransmissions are required is 0.009

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

37

step-by-step explanation: