A process that polishes a mirrored surface leaves an average of 2 small flaws per 5 m² of surface. The number of flaws on an area of surface follows a Poisson distribution. a) What is the probability that a surface with area 3 m × 5 m will contain more than 5 flaws? b) What is the probability that a surface with area 2 m × 3 m will contain no flaws? c) What is the probability that 50 surfaces, each with dimensions 3 m × 6 m, will contain more than 350 flaws in total?
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.
A process that polishes a mirrored surface leaves an average of 2 small flaws per 5 m² of surface. The number of flaws on an area of surface follows a Poisson distribution. a) What is the probability that a surface with area 3 m × 5 m will contain more than 5 flaws? b) What is the probability that a surface with area 2 m × 3 m will contain no flaws? c) What is the probability that 50 surfaces, each with dimensions 3 m × 6 m, will contain more than 350 flaws in total?
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