A basketball player usually makes 58% of his free shots.Tonight he made 10 shots in a row.Is this evidence that he is on a winning streak? That is,is this streak so unusual that it means the probability he makes a shot must have changed? Explain.
A)No; if his success rate were still 58%,he would have a 5.8% chance of making 10 shots in a row.That's not a highly unusual result.
B)Yes; if his success rate were still 58%,he would have only a 5.8% chance of making 10 shots in a row.That's an unusual result.
C)Yes; if his success rate were still 58%,he would have only a 0.2% chance of making 10 shots in a row.That's an unusual result.
D)Yes; if his success rate were still 58%,he would have only a 0.4% chance of making 10 shots in a row.That's an unusual result.
E)No; if his success rate were still 58%,he would have a 0.4% chance of making 10 shots in a row.That's not an unusual result.

Question

Quizplus · Accepted Answer

If his success rate were still 58%, the probability of making 10 shots in a row is 0.58^10, which is approximately 0.4%. This is a relatively low probability, suggesting that making 10 shots in a row is an unusual event, potentially indicating a change in his success rate.

A Basketball Player Usually Makes 58% of His Free Shots