Define all the probability functions of d.r.vs., mean , variance, and moment generating function.

Q: For a particular tool, a factory does not use the tool on 10% of days; uses the tool once on 50% of…

A: It is given that a factory does not use the tool on 10% of days; uses the tool once on 50% of days;…

Q: Find the expected value of x

A: Expectation is a concept in probability. It is similar to mean.

Q: Let X be the discrete r.v. that represents the number of Boys in a three-child family. Assume that…

A: The variable X is the number of Boys in a three-child family with the outcomes boys and girls are…

Q: The time interval between machine breakdowns in a manufacturing firm is defined according to the…

A: Time Cumulative probability Cumulative probability Less than or equal to 1 hour 0.15 0.15…

Q: Assume, North Origano, is a country with highest domestic violence cases (approximately 5 cases per…

A: Given Observation and Calculation

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.