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(Please show all steps. Write neat, clear and organized for partial points.) 1. A die is rolled four times. Find the probability of getting 5 exactly two times. oca s il fi bas age 2. A survey of employees in a big company provided the following data: Smoker Non-smoker Male 370 50 Female 140 180 If an employee is selected at random, find the probability that: a) The employee is either male or non-smoker; to anttrea to willidsdong ent ofumbrage of nowfudnadia lelmonta sou resmil led baraot latos b) The employee is neither male nor non-smoker; c) The employee is a smoker, given is male.3. The probability that a Wall Street stock market investor will sell his stocks at a profit of $7000 is 0.19, the probability to sell at a profit of $4000 is 0.38, the probability to break even is 0.32 and the probability that he will sell at a loss of $5000 is 0.11. What is his expected profit? sa slains monument OSOS II 19mmu2-50Ma waning leinga lot (minegto bris gals , Jeon paltW eqpjails wolfe scentsy 4. A small company must decide whether to merge with a larger company to make more investments. If they merge and it is a good sales year, there will be a $840,000 profit; if they merge and it is a poor sales year, there will be a deficit of $ 260,000. If they do not merge and it is a good sales year there will be a $480,000 profit; if they do not merge and it is a poor sales year there will be a $52,000 profit. If the probability of a good sales year is 0.30 and the probability of a poor sales year is 0.70, what is the expected profit? sisb aniwollot sidi bebivorg yngmon ald s ni assvolqme to venue A .S tofome OCE OSL ONE Isrit vilideding sdy bhi mohney dis betsise ai pavoters in il asdome non 10 siem jordis el esvolume silt (s 5. A coin is tossed 431 times. Use Binomial Distribution to approximate the probability of getting at most 235 tails. toHome-non ton slem jordan ar ssyalqme andT id