Math Problem Statement

Groups of adults are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x 0 1 2 3 P(x) 0.352 0.437 0.183 0.028 Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the random variable x is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1. • E. No, not every probability is between 0 and 1 inclusive.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability Distribution
Random Variables

Formulas

Sum of Probabilities
Probability Conditions

Theorems

Probability Distribution Theorem

Suitable Grade Level

Grades 10-12