5. [Pick 3] [20 points] The state of Illinois has several state-wide lottery options. One is the Pick 3 game in which you pick one of the 1000 three-digit numbers between 000 and 999. The lottery selects a three-digit number at random. It takes $1 to buy a Pick 3 ticket. You win $500 if your number is selected and nothing ($0) otherwise. The distribution of the net profit X from a Pick 3 ticket is hence:

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

50 points mark brainliest 1) the information in the interactive presentation suggests that people a) utilize the perception of others rather that out own perception b) learn more about the positive aspects of perception c) should monitor how perceptual barriers influence our relationship d) spend more times on our personal relationships rather than our professional relationships 2) you are about to take the dog out for a walk but pause to watch the news because you hear the name of your town being mentioned hearing your town being mentioned on the news is an example of a) stimulation b) interaction c) organization d) interpretation- evaluation 3) tamara thinks ivan is upset with her because hes been unusually quiet today to better interpret the situation and communicate appropriately tamara should a) ask ivan why hes quiet and explain that hes being inconsiderate b) leave ivan alone because hes obviously going through something c) ask her guidance counselor for tips on providing therapy to a friend d) examine her own perception and then check in with ivan about his behavior 4) of the following abilities which is the most important to the perceptual checking process a) critical thinking ability b) creative ability c) memorizing ability d) organizational ability

What do you think: would it be more profitable to own 200 shares of penny’s pickles or 1 share of exxon? why do you think that?