Among 13 electrical components exactly 4 are known not to function properly. If 6 components are randomly selected, find the following probabilities:(i) The probability that all selected components function properly.(ii) The probability that exactly 3 are defective.(iii) The probability that at least 1 component is defective.a) (i) 0.5105 (ii) 0.1958 (iii) 0.2937b) (i) 0.5105 (ii) 0.0490 (iii) 0.2937c) (i) 0.0490 (ii) 0.1958 (iii) 0.2937d) (i) 0.0490 (ii) 0.2937 (iii) 0.9510e) (i) 0.0490 (ii) 0.1958 (iii) 0.9510f) None of the above
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.
Among 13 electrical components exactly 4 are known not to
(i) The
(ii) The probability that exactly 3 are defective.
(iii) The probability that at least 1 component is defective.
a) (i) 0.5105 (ii) 0.1958 (iii) 0.2937
b) (i) 0.5105 (ii) 0.0490 (iii) 0.2937
c) (i) 0.0490 (ii) 0.1958 (iii) 0.2937
d) (i) 0.0490 (ii) 0.2937 (iii) 0.9510
e) (i) 0.0490 (ii) 0.1958 (iii) 0.9510
f) None of the above
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