Probability Distributions

Description: This paper focuses on the application and analysis of probability distributions in statistics.

Benjamin Fisher

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Lab Activity 4Probability DistributionsData Set: None (but software is required)Number of Questions: 51. Discrete Vs. ContinuousFor the following, indicate if the variable of interest is discrete or continuous.a.The time it takes for high school students to run one mile.Continuousb.The number of dogs a family has as pets.Discretec.The ranking (on a scale of 1-3, with answers of 1, 2, or 3) of how excited you are to finish yourdegree.Discreted.The amount of money spent by women on clothing each month.Continuous2. Discrete Random VariablesSuppose thegrading for a course project can only have 7 possible outcomes; 100, 90, 80, 70, 60, 50,and 0.Let the random variable X be the scores on the project. Suppose X has the followingdistribution:x10090807060500P(X = x)0.1000.4000.3400.1000.0500.0050.005a. What is the probability that X is AT MOST 60%?P(X is at most 60%) = P(X≤60) = 0.050+0.005+0.005 = 0.06

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