Chapter 4 Probability Distributions Question and Answer 2023.

Chapter 4 Probability Distributions Question and Answer 2023. probability Correct Answer: With a random sample or randomized experiment, it is the proportion of times that outcome would occur in a very long sequence of observations probability of something not happening Correct Answer: P(not A) = 1-P(A) probability of one thing or another happening Correct Answer: If A and B are distinct possible outcomes (with no overlap), then P(A or B) = P(A) + P(B) probability of both things happening Correct Answer: If A and B are possible outcomes, then P(A and B) = P(A) * P(B given A) whether one thing occurs does not depend on whether the other does Correct Answer: If A and B are independent, then P(A and B) = P(A) * P(B) random variable Correct Answer: A quantity resulting from an experiment that, by chance, can assume different values. probability distribution Correct Answer: lists the possible outcomes and their probabilities expected value E(y) Correct Answer: the mean of the probability distribution standard deviation Correct Answer: measures the variability of a probability distribution; square root of variance variance Correct Answer: measures the average squared deviation of an observation from the mean normal probability distribution Correct Answer: is symmetric, bell-shaped, and characterized by its mean and standard deviation. The probability within any particular number of standard deviations of the mean is the same. This probability equals 0.68 within 1 standard deviation, 0.95 within 2 standard deviations, and 0.997 within 3 standard deviations.