Oliver is participating in an archery competition where there are two ways to win. He can choose one of the two to try: . In the first way, he shoots arrows towards the target 5 times and wins if he hits 2 or more shoots. . In the second way, he shoots arrows towards the target continuously until he hits the target once and only then does he stop. He wins if the number of misses is less than 3. Set the random variable Y to the number of misses before he hits the target. Suppose that oliver's target hit probability is 0.31 in each shoot and that all of his shoots are independent in both ways. Calculate (rounding to 4 decimal places):
Oliver is participating in an archery competition where there are two ways to win. He can choose one of the two to try:
. In the first way, he shoots arrows towards the target 5 times and wins if he hits 2 or more shoots.
. In the second way, he shoots arrows towards the target continuously until he hits the target once and only then does he stop. He wins if the number of misses is less than 3. Set the random variable Y to the number of misses before he hits the target.
Suppose that oliver's target hit
Calculate (rounding to 4 decimal places):
(tip is in the image)
a) What is the probability that Oliver wins if he plays the first way?
b) What is the expected number of correct throws from oliver when he plays the first way?
c) What is the probability that Oliver will win if he plays the second way?
d) What is the expected number of misses until Oliver hits the target when he plays the second way?
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