An electronic scale in an automated filling operation stops the manufacturing line after three underweight purchases are detected. Suppose that the probability of an underweight package is 0.01 and fills are independent. a. Determine the probability mass function of the number of fills (X) before the manufacturing line is stopped. b. Find that the probability that atleast 100 fills can be completed before the manufacturing line is stopped. c. Calculate the mean and variance of X.
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.
An electronic scale in an automated filling operation stops the manufacturing line after three underweight purchases are detected. Suppose that the probability of an underweight package is 0.01 and fills are independent.
a. Determine the probability mass function of the number of fills (X) before the manufacturing line is stopped.
b. Find that the probability that atleast 100 fills can be completed before the manufacturing line is stopped.
c. Calculate the mean and variance of X.
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