Wanting to get into the budding field of interplanetary travel, I decided to challenge Elon Musk and develop a new rocket prototype that also takes off and then lands successfully. Based on extreme testing, I have developed a distribution of the variable Ax - the distance from the center of the landing zone where the rocket lands. The continuous distribution is shown graphically below: Distribution of Ax 5 Ax, m Based on this distribution a) What distance from the center of the landing zone would I expect the rocket to land? b) What is the variance in Ax? c) What is the probability that the rocket lands within 1 meter of the center? d) What is the probability that the rocket lands 4.5 or more meters from the center point? (x))

Wanting to get into the budding field of interplanetary travel, I decided to challenge Elon Musk and develop a new rocket prototype that also takes off and then lands successfully. Based on extreme testing, I have developed a distribution of the variable Ax - the distance from the center of the landing zone where the rocket lands. The continuous distribution is shown graphically below: Distribution of Ax 5 Ax, m Based on this distribution a) What distance from the center of the landing zone would I expect the rocket to land? b) What is the variance in Ax? c) What is the probability that the rocket lands within 1 meter of the center? d) What is the probability that the rocket lands 4.5 or more meters from the center point? (x))