Midterm Review: Statistics and Probability PDF

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Summary

This document is a midterm review for a statistics and probability course. It includes questions about random variables, binomial distributions, and measures of central tendency, such as mean, variance, and standard deviation.

Full Transcript

Midterm review STATISTICS AND PROBABILITY Random Variables 1) Random Variables 2) Binomial Distribution 3) Mean, Variance and Standard Deviation Identify whether the given random variable is DISCRETE or CONTINUOUS The number of defective mobile phones in a b...

Midterm review STATISTICS AND PROBABILITY Random Variables 1) Random Variables 2) Binomial Distribution 3) Mean, Variance and Standard Deviation Identify whether the given random variable is DISCRETE or CONTINUOUS The number of defective mobile phones in a box. Identify whether the given random variable is DISCRETE or CONTINUOUS The customers of Mcdonalds in Al Wakra Branch Identify whether the given random variable is DISCRETE or CONTINUOUS The length of time in studying Statistics and Probability Identify whether the given random variable is DISCRETE or CONTINUOUS The reference books used to study Mathematics. Identify whether the given random variable is DISCRETE or CONTINUOUS The amount of water used to boil an egg. Identify whether the given random variable is DISCRETE or CONTINUOUS The number of flights in a day. What are the two properties that satisfy the probability distribution? What is the symbol for the mean? What is the symbol for the variance? What is the symbol for the standard deviation? What is the formula for finding the mean? What is the formula for finding the variance? What is the formula for finding the binomial distribution? The following satisfies the properties of a probability distribution, EXCEPT A. P(x) = {1/3, 1/3, 1/3} B. P(x) = {0.3, 0.5, 0.1, 0.1} C. P(x) = {0.15, 0.25, 0.3, 0.25, 0.05} D. P(x) = {-0.15, 0.25, 0.3, 0.30} When a die is tossed, what is the value when three will appear? A. 0 B. 2 C. 3 D. 6 what are the possible outcomes of a binary distribution? A. failure only B. success only C. the number of trials D. success and failure The number of defective mobile phones in a box of five A. {1, 2, 3, 4, 5} B. {1, 3, 5, 6} C. {0, 1, 2, 3, 4} D. {0, 1, 2, 3, 4, 5} Binomial probability distribution with n = 25, and p = 0.8. Find P(x = 15). The number of cars sold per day at a local car dealership, along with its corresponding probabilities, is shown in the table at the right. Compute the mean, variance and the standard deviation of the probability distribution. Find the mean, variance and standard deviation. Show the complete table as your solution. Suppose two dice are tossed. Let X be the random variable representing the product of the two dice. Find the values of the random variable X. Construct the table.

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