During the 2020 Badminton National Championships, a new national badminton player had the highest point rate in the match. The player scored with 65.5% of his shots. Suppose you choose a random sample of 80 shots made by the player during the 2020 National Championships. Let X = the number of shots that scored points. a. What is the probability distribution for X? b. Sketch the probability density function c. Sketch the cumulative distribution function

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During the 2020 Badminton National Championships, a new national badminton player had the highest
point rate in the match. The player scored with 65.5% of his shots. Suppose you choose a random sample
of 80 shots made by the player during the 2020 National Championships. Let X = the number of shots that
scored points.
a. What is the probability distribution for X?
b. Sketch the probability density function
c. Sketch the cumulative distribution function
d. Calculate the mean and standard deviation of X.
e. Find the probability that the player scored with 60 of these shots.
f. Find the probability that the player scored with more than 50 of these shots.
g. Find the probability that the player scored between 40 and 55 of these shots
Transcribed Image Text:During the 2020 Badminton National Championships, a new national badminton player had the highest point rate in the match. The player scored with 65.5% of his shots. Suppose you choose a random sample of 80 shots made by the player during the 2020 National Championships. Let X = the number of shots that scored points. a. What is the probability distribution for X? b. Sketch the probability density function c. Sketch the cumulative distribution function d. Calculate the mean and standard deviation of X. e. Find the probability that the player scored with 60 of these shots. f. Find the probability that the player scored with more than 50 of these shots. g. Find the probability that the player scored between 40 and 55 of these shots
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