A robot is going to attempt the same task 100 times. Each time it tries, it will either succeed or fail to succeed in completing the task. Say the robot does not learn from its tries, so each attempt at the task is independent of the others. On a given attempt, the probability of the robot succeeding is 0.85. Let X be the random variable of the number of times this robot is able to succeed in completing the task. part 1. What is the probability that the robot succeeds less than or equal to 80 times? (it is only for part a; no need to show work) a. Use the compliment rule to reduce the number of operations needed in part 1. Find another way to compute the needed probability. b. Now say two robots are going to attempt the same task. The robots operate independently from one another. What is the probability that both robots succeed less than or equal to 80 times out of 100? c. Now say the single robot begins to learn the more it tries. That is to say, it gets better at succeeding at the task the more it tries. Can the distribution from part a. still be used? In a sentence or two explain why or why not.
3. A robot is going to attempt the same task 100 times. Each time it tries, it will either succeed or fail to succeed in completing the task. Say the robot does not learn from its tries, so each attempt at the task is independent of the others. On a given attempt, the
part 1. What is the probability that the robot succeeds less than or equal to 80 times? (it is only for part a; no need to show work)
a. Use the compliment rule to reduce the number of operations needed in part 1. Find another way to compute the needed probability.
b. Now say two robots are going to attempt the same task. The robots operate independently from one another. What is the probability that both robots succeed less than or equal to 80 times out of 100?
c. Now say the single robot begins to learn the more it tries. That is to say, it gets better at succeeding at the task the more it tries. Can the distribution from part a. still be used? In a sentence or two explain why or why not.
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