Question

Tasks are sent to a supercomputer at an average rate of 6 tasks per minute. Their arrivals are modeled by a Binomial counting process with 2-second frames.

Compute the probability of more than 0 tasks sent during 10 seconds.

Answer 1

Step-by-step explanation:

Probability of sending task in 2 seconds = 0.2

probability of failure = 0.8

Required probability = 1 –(.8)⁵ = 0.6723

Answer 2

Answer:

The probability of more than 0 tasks sent during 10 seconds=0.737.

Step-by-step explanation:

n= Number of success

Probability of sending task in 2 seconds = 2/10= 0.2

P(E)=P(SUCCESS)+P(FAILURE)

probability of failure = 1-0.2=0.8

$P(makes at least one success) = 1-P(failure)^{n}$

Required probability = 1 –(.8)⁶ = 0.737