Practice Problems on Probability and Statistics
Problem 1: A bag contains 5 red marbles, 4 blue marbles, and 3 green marbles. What is the probability of randomly selecting a blue marble?
Problem 2: A survey is conducted on a sample of 100 people to estimate the average time spent daily on a mobile phone. The sample mean is 2.5 hours with a standard deviation of 1 hour. Calculate a 95% confidence interval for the population mean.
Problem 3: A fair six-sided die is rolled. What is the probability of rolling an even number or a number greater than 4?
Problem 4: Data Set: [8, 12, 15, 18, 10]. Calculate the variance and standard deviation.
Problem 5: Data Set: [10, 15, 12, 18, 15, 22, 20]. Find the mean, median, and mode of the given data set.
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Probability and Statistics
Probability and Statistics are helpful guides when it comes to studying numbers. Probability helps us figure out how likely things are to happen, like guessing if it will rain. On the other hand, Statistics is about collecting and understanding data, like looking at numbers to learn useful things. Together, they help us make smart decisions and see patterns in the information around us.
This article covers various concepts of probability and statistics. In probability, we will learn definitions, formulas, types of events, Rules of probability, and more topics related to probability.
Table of Content
- What is Probability And Statistics?
- Probability Definition
- Statistics Definition
- Terms Related to Probability and Statistics
- Probability and Statistics Formulas
- Probability Formulas
- Statistics Formulas
- Topics under Probability and Statistics
- Rules of Probability
- Types of Event in Probability
- Statistics Topics
- Probability and Statistics for Engineering Mathematics
- Probability in Engineering
- Statistics in Engineering
- Probability and Statistics – Solved Examples
- Practice Problems on Probability and Statistics