1. A survey conducted for the Northwestern NationalLife Insurance Company revealed that 70% of American workers sayjob stress caused frequent health problems. Suppose a random sample of 20 American workers is selected.Based on the relevant binomial distribution, answer the followingquestions about X, the number of American workers whosay job stress caused frequent health problems. What is theprobability that X is no more than 12? Round your answer to 3decimal.

2. Ship collisions in the Houston ShipChannel are rare. Suppose the number of collisions are Poissondistributed, with a mean of 1.2 collisions every four months. Whatis the probability ofhaving one or less collision over a four-month period? Roundyou answer to 3 decimal places.

3. According to CBS Money Watch, the average monthlyhousehold cellular phone bill is $100. Suppose monthly householdcell phone bills are normally distributed with a standard deviationof $11.35. What is the probability that a randomly selected monthlycell phone bill is more than $120? Round your answer to 3 decimalplaces.

4. According to CBS Money Watch, the averagemonthly household cellular phone bill is $100. Suppose monthlyhousehold cell phone bills are normally distributed with a standarddeviation of $11.35. What is the probability that a randomlyselected monthly cell phone bill is between $80 and $110? Roundyour answer to 3 decimal places.

5. Suppose that a marketing research firm sendsquestionnaires to two different companies. Based on historicalevidence, the marketing research firm believes that each company,independently of the other, will return the questionnaire withprobability 0.40. What is the probabilitythat both questionnaires are returned? Roundyour answer to 2 decimal places