In the following let Ci represent the event that i corners are detected, OB, OC, OS, represent the events that the real object is a box, cylinder, or sphere, respectively. a) Determine the probability of an object being of each of the different types if 4 corners are found and all objects are equally likely to be the object presented. (20 points) b) Determine the probability of an object being of each of the different types if 2 corners are found when the probability of presenting box is 0.4, Cylinder is 0.35 and Sphere is 0.25. (20 points)

Segment ab is shown on the graph. which shows how to find the x-coordinate of the point that will divide ab into a 2: 3 ratio using the formula

In the triangles, tr = ge and sr = fe. if = 3.2 ft, which is a possible measure of ? 1.6 ft 3.0 ft 3.2 ft 4.0 ft

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.