Executives in the New Zealand Forestry Industry claim that only 5% of all old sawmills sites contain soil residuals of dioxin (an additive previously used for anti-sap-stain treatment in wood) higher than the recommended level. If Environment Canterbury randomly selects 20 old saw mill sites for inspection, assuming that the executive claim is correct: i) Calculate the probability that less than 1 site exceeds the recommended level of dioxin. ii) Calculate the probability that less than or equal to 1 site exceed the recommended level of dioxin. iii) Calculate the probability that at most (i.e., maximum of) 2 sites exceed the recommended level of dioxin.
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.
Executives in the New Zealand Forestry Industry claim that only 5% of all old sawmills sites contain soil residuals of dioxin (an additive previously used for anti-sap-stain treatment in wood) higher than the recommended level. If Environment Canterbury randomly selects 20 old saw mill sites for inspection, assuming that the executive claim is correct:
i) Calculate the
ii) Calculate the probability that less than or equal to 1 site exceed the recommended level of dioxin.
iii) Calculate the probability that at most (i.e., maximum of) 2 sites exceed the recommended level of dioxin.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
