A wooden kitchen cabinet is carefully inspected at the manufacturing facility before it is sent to a retailer. The random variable X is the number of defects found in a randomly selected cabinet. The probability distribution for X is given in the following table. Please use at least three decimal places in this question. Suppose that a cabinet is selected at random. x 0 1 2 3 4 5p(x) 0.9 0.05 0.025 0.016 0.003 0.006a. Find the variance and standard deviation of X. Hint: The computational formula. b.If the number of defects found is more than one standard deviation above the mean, the manufacturing facility needs to recalibrate their machines. What is the probability that the facility needs to recalibrate their machines?c. Suppose the random variable W is defined by W = X^2 - 5. Find the mean of W. d. Suppose two cabinets are selected at random. What is the probability that each of the two cabinets has fewer than three defects?

step-by-step explanation:

the shape,the size and the distance

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights