Prior to the grounding of space shuttle program, the National Aeronautics and Space Administration (NASA) estimated that the chance of a “critical- item” failure within a space shuttle’s main engine was approximately 1 in 63. The failure of a critical item during flight would lead directly to a shuttle catastrophe.
a. On average, how many shuttle missions would fly before a critical-item failure occurs?
b. What is the standard deviation of the number of missions before a critical-item failure occurs?
c. Give an interval that will capture the number of missions before a critical-item failure occurs with probability of approximately .95.