5. The space company SpaceX sends a reusable space shuttle into space until the space shuttle fails to return. Suppose that during each trip, the space shuttle fails to return with a probability of 1 f 20. (a) 1'-"hat is the probability of the event that the space shuttle fails to return from its rst trip? {b} 1'-"hat is the probability of the event that the space shuttle returns from its rst trip but fails to return from its second trip? (c) 1'-"hat is the probability of the event that the space shuttle can make 3 or more trips into space? Page 3 {d} Suppose that two identical space shuttles 1. 2 are sent into space. Each of them during each trip, space shuttle 1 fails to return with probability 1 f 20 and space shuttle 2 fails to return with probability 1f2l]. Suppose that failures of the two space shuttles are independent. What is the probability of the event that space shuttle 1 can make more than one trip and space shuttle 2 can make more than one trip