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1. In a study 40% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 10 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 10 adults are randomly selected, 3 or fewer are in excellent health. 2. Estimate the indicated probability by using the Poisson distribution as an approximation to the binomial distribution. Suppose 1.5 percent of the antennas on new Nokia cell phones are defective. For a random sample of 200 antennas, find the probability that three or more of the antennas are defective. 3. The mean amount spent by a family of four on food per month is $500 with standard deviation of $75. Assuming that the food costs are normally distributed, what is the probability that a family spends less than $410 per month 4. Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. a) Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives. b) A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random, estimate the probability of getting at least 20% correct. 5. The annual commissions per salesperson employed by a manufacturer of light machinery averaged $40,000 with a standard deviation of $5000. What percent of the sales persons earn between $32,000 and $42,000. 6. Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. a) A multiple choice test consists of 60 Questions. Each question has 4 possible answers of which one is correct. If all answers are random guesses, estimate the probability of getting at least 20% correct. b) Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives.

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