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Question about Basketball

Physical Education

Originais Teachy

Basketball

Hard

(Originais Teachy 2024) - Question Hard of Physical Education

During a basketball championship, a team must plan its strategies to defeat its opponents, taking into account not only the technical and physical skills of the players, but also mathematical aspects involving the scoring system and the probability of successful three-point shots. In a statistical analysis, it was observed that a player's performance in three-point shots follows a normal distribution with an average of 44% accuracy. Furthermore, the coaching staff wishes to explore mathematical knowledge to calculate the probability of different scores occurring at the end of the first quarter of a game, considering that in a basketball game, the average score of a team in the first quarter is 22 points. Based on this information and statistical knowledge, what is the probability of the team scoring less than 15 points at the end of the first quarter, considering that all points were exclusively scored by successful three-point shots?
a.
The probability of the team scoring less than 15 points at the end of the first quarter, considering that all points were exclusively scored by successful three-point shots, is approximately 0.0000000003206.
b.
The probability of the team scoring less than 15 points at the end of the first quarter, considering that all points were exclusively scored by successful three-point shots, is approximately 0.00000003206.
c.
The probability of the team scoring less than 15 points at the end of the first quarter, considering that all points were exclusively scored by successful three-point shots, is approximately 0.000000003206.
d.
The probability of the team scoring less than 15 points at the end of the first quarter, considering that all points were exclusively scored by successful three-point shots, is approximately 0.00000000003206.
e.
The probability of the team scoring less than 15 points at the end of the first quarter, considering that all points were exclusively scored by successful three-point shots, is approximately 0.0000003206.

Answer sheet:

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