Suppose that the log-ons to a computer network follow a poisson process with an average of 3 counts per minute. (a) what is the mean time between counts (in minutes)? (round yours answers to 3 decimal places.) (b) what is the standard deviation between counts (in minutes)? (round yours answers to 3 decimal places.) (c) if it is an average of 3 counts per minute, find the value of such that . (round yours answers to 4 decimal places.)

a) 0.333, b) 0.333 and c) 0.9986.

Step-by-step explanation:

Since we have given that

Average = 3 counts per minute = λ

a) What is the mean time between counts ?

Since it follows a Poisson Process, So,

(b) What is the standard deviation between counts ?

(c) If it is an average of 3 counts per minute, find the value of such that .

If the average = 3 counts per minute.

Then,

Hence, a) 0.333, b) 0.333 and c) 0.9986.

25% is the answer

let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.