The January 1986 mission of the Space Shuttle Challengerwas the 25th such shuttle mission. It was unsuccessful due to an explosion caused by an Oring seal failure. (a) According to NASA, the probability of such a failure in a single mission was 1161,504. Using this value ofp and assuming all missions are independent, calculate the probability of no mission failures in 31 attempts Then calculate the probability of at least one mission failure in 31 attempts. (Do not round your intermediate calculation and round your final answers to 4 decimal places.) 9 Answer is complete but not entirely correct. P(x = 0) 0.0004 6 P(x 2 1) 0.9996 6 (b) According to a study conducted for the Air Force, the probability of such a failure in a single mission was 1/35. Recalculate the probability of no mission failures in 31 attempts and the probability of at least one mission failure in 31 attempts. (Do not round your intermediate calculation and round your nal answers to 4 decimal places.) 0 Answer is complete but not entirely correct. P(x = 0) 0.4845 9 P(x 21) 0.5155 6