The probability density function of the time to failure of an electronic component in a copier (in hours) is f left-parenthesis x right-parenthesis equals StartFraction e Superscript negative x divided by 1017 Baseline Over 1017EndFraction for x greater-than 0. Determine the probability tha

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.