High resolution airborne or vehicular imaging systems are often limited in performance by mechanical vibrations. High vibration frequency MTF is known. Low vibration frequency MTF is a random process analyzed here. Average and ideal maximum spatial frequency limitations are calculated. Plots are presented to describe the number of independent images of the same object required so that at least one "lucky shot" with a given spatial frequency requirement is obtained with a given probability. Examples for short and long relative exposures are included. These data can be used to statistically define expected performance of high resolution systems and to aid accordingly in sensor selection. The probability of achieving higher resolution improves noticeably as relative exposure time is decreased.