The January 1986 mission of the Space Shuttle Challenger was the 25th such shuttle mission. It was unsuccessful due to an explosion caused by an O-ring seal failure. According to NASA, the probability of such a failure in a single mission was 1/600. Suppose the mission was attempted 25 times.a. Find the mean number of mission failures. Include the appropriate symbol.b. Find the variance of the total number of mission failures. Include the appropriate symbol.c. Find the standard deviation of the total number of mission failures. Include the appropriate symbol.