Possible values for the resistance of a type of cable used as a tension member are 70, 80, and 90 kN, respectively. These possibilities are equally likely to occur. There are also three equal possibilities for the applied load. These are 65, 75 and 85 kN, respectively. a. What is the probability that the resistance of such a cable selected at random will be at least equal to 80kN? b. What is the possibility that the load will be at most equal to 75kN? c. What is the probability of failure of the cable?
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.
Possible values for the resistance of a type of cable used as a tension member are 70, 80, and 90 kN, respectively. These possibilities are equally likely to occur. There are also three equal possibilities for the applied load. These are 65, 75 and 85 kN, respectively.
a. What is the
b. What is the possibility that the load will be at most equal to 75kN?
c. What is the probability of failure of the cable?
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