If a procedure meets all the conditions of a binomial distribution except that the number of trials is not fixed, then the geometric distribution can be used. the probability of getting the first success on the xth trial is given byp(x) = p(1-p)^(x-1)where p is the probability of success on any one trial. assume that the probability of a defective computer component is 0.34. find the probability that the first defect is found in the second component tested.(round answer to four decimal places.)p(2) =

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

When is g(x) = 0 for the function g(x) = 5.23x + 4?