In the following probability? distribution, the random variable x represents the number of activities a parent of a 6 th dash 6th- to 8 th 8th? -grade student is involved in. complete parts? (a) through? (f) below. x 0 1 2 3 4 ? p(x) 0.092 0.092 0.242 0.242 0.323 0.323 0.278 0.278 0.065 0.065 ? (a) verify that this is a discrete probability distribution. this is a discrete probability distribution because the sum of the probabilities is nothing and each probability is ? less than or equal to 1. greater than or equal to 0. between 0 and 1, inclusive. ?

Acircle has a circumference of 2 pi cm. which statement about the circumference and area is true? a comparison of the area and circumference is not possible since the area cannot be determined. the numerical values of the circumference and area of the circle are equal. the numerical value of the circumference is greater than the numerical value of the area. the numerical value of the circumference is less than the numerical value of the area.

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."

What is the solution to the equation? k/6.4=8.7 2.3 5.568 15.1 55.68