You are a contestant on a TV game show; there are four identical-looking suitcases containing $200, $400, $800, and $1600. You start the game by randomly choosing a suitcase. Among the three unchosen suitcases, the game show host opens the suitcase that holds the least money. The host then asks you if you want to keep your suitcase or switch one of the other remaining suitcases. For the following analysis use the following notation for events: (1) Ciis the event that you choose a suit- case with i dollars.
(2) Oi denotes the event that the host opens a suitcase with i dollars.
(3) R is the reward in dollars that you keep.
answer following questions:
(a) You refuse the host's offer and open the suitcase you first chose. Find the PMF of R and the expected value E[R).
(b) You switch and randomly choose one of the two remaining suitcases. You receive the R dollars in this chosen suitcase. Sketch a tree diagram for this experiment, and find the PMF and expected value of R.

Read the excerpt from the war of the worlds, in which the crowd begins to disperse just before the first martian exits the cylinder. when i returned to the common the sun was setting. scattered groups were hurrying from the direction of woking, and one or two persons were returning. the crowd about the pit had increased, and stood out black against the lemon yellow of the sky—a couple of hundred people, perhaps. there were raised voices, and some sort of struggle appeared to be going on about the pit. strange imaginings passed through my mind. as i drew nearer i heard stent's voice: "keep back! keep back! "a boy came running towards me."it's a-movin'," he said to me as he passed; 'a-screwin' and a-screwin' out. i don't like it. i'm a-goin' 'ome, i am."what options accurately depict the impact of the boy's words on pacing within the excerpt? (select all that apply.)the war of the worldsthe setting is in england, so the boy's words provide the reader with the dialect of the area. even though that slows down the plot, the boy's words contain important information. the plot's forward movement is slow at the beginning of the excerpt because there is little action. the boy's words increase the tension and counteract that lag. the narrator is not close enough to see clearly into the pit, so the boy's words provide the narrator with the information he needs, which moves the plot forward. the boy's words serve to speed up the pacing of the plot because, as he is talking to the narrator, he is running past him to get away. the narrator is not close enough to see clearly into the pit, so the boy's words provide the narrator with the information he needs, which moves the plot forward. wrong? the boy's words serve to speed up the pacing of the plot because, as he is talking to the narrator, he is running past him to get away.