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3. A basketball team averages 1.2 technical fouls per game. a. Find the probability that in...
3. A basketball team averages 1.2 technical fouls per game.
a. Find the probability that in a given basketball game, this team will commit exactly 2 technical fouls. Explain the reason for using the formula that you used to obtain the probability.
b. Let X denote the number of technical fouls that this team will commit during a given basketball game. Obtain the probability distribution of X and present it in both graphical and tabular format. [Use three digits after decimal point for showing the probabilities.]
c. What are the mean and standard deviation of X?
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