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Probability Distributions

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

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    Lab Activity 4 Probability Distributions Data Set: None (but software is required) Number of Questions: 5 1. Discrete Vs. Continuous For 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. Continuous b. The number of dogs a family has as pets. Discrete c. The ranking (on a scale of 1 - 3, with answers of 1, 2, or 3) of how excited you are to finish your degree. Discrete d. The amount of money spent by women on clothing each month. Continuous 2. Discrete Random Variables Suppose the grading 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 following distribution: x 100 90 80 70 60 50 0 P(X = x) 0.100 0.400 0.340 0.100 0.050 0.005 0.005 a . 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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