According to a survey 65% of murders committed last year were cleared by arrest or exceptional means. 50 murders committed last year are randomly selected and the number cleared is recorded. a) find the probability that exactly 41 murders were cleared. b)the probability that between 36 and 38 of the murders, inclusive were cleared is? c) would it be unusual if fewer than 20 of the murders were cleared? why or why not?

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."

When 142 is added to a number the result is 64 more then 3 times the number. option 35 37 39 41

Awater holding tank measures 105 m long, 50 m wide, and 8 m deep. traces of mercury have been found in the tank, with a concen- tration of 60 mg/l. what is the total mass of mercury in the tank? answer in units of kg.