The table shows the probability distribution of the number of bases for a randomly selected time at bat for a random player on a certain baseball team. Complete parts a through c below. a. Verify that the probabilities give a legitimate probability distribution. Choose the correct answer below. A. The sum of the probabilities is 1 and each probability falls between 0 and 1. OB. The sum of the probabilities is between 0 and 1 and each probability is less than 1. OC. The sum of the probabilities is 1. OD. All the probabilities are between and 1. b. Find the mean of this probability distribution. μ= (Type an integer or a decimal. Do not round.) Bases 0 1 2 3 4 Probability 0.7421 0.1729 0.0524 0.0068 0.0258

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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1.
The image presents a probability distribution table for the number of bases a randomly selected player from a certain baseball team achieves during an at-bat. The table lists the possible number of bases and their corresponding probabilities:

- Bases 0: Probability 0.7421
- Bases 1: Probability 0.1729
- Bases 2: Probability 0.0524
- Bases 3: Probability 0.0068
- Bases 4: Probability 0.0258

Next, there is a question about verifying the legitimacy of this probability distribution. The correct answer, marked with a check, is:

- A. "The sum of the probabilities is 1 and each probability falls between 0 and 1."

Part (b) asks for the mean of this probability distribution, represented by the symbol µ. A blank box is provided for the answer, which should be an integer or decimal, without rounding.
Transcribed Image Text:The image presents a probability distribution table for the number of bases a randomly selected player from a certain baseball team achieves during an at-bat. The table lists the possible number of bases and their corresponding probabilities: - Bases 0: Probability 0.7421 - Bases 1: Probability 0.1729 - Bases 2: Probability 0.0524 - Bases 3: Probability 0.0068 - Bases 4: Probability 0.0258 Next, there is a question about verifying the legitimacy of this probability distribution. The correct answer, marked with a check, is: - A. "The sum of the probabilities is 1 and each probability falls between 0 and 1." Part (b) asks for the mean of this probability distribution, represented by the symbol µ. A blank box is provided for the answer, which should be an integer or decimal, without rounding.
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