Exercise 1 Based on data from the Center for Statistics, 30% of adult Americans smoke. In a sample of 12 adults: a) What is the probability of finding at least 1 smoker in the sample? b) What is the probability of finding exactly 5 smokers in the sample? c) What is the probability of finding exactly 7 non-smokers in the sample? d) Find the mean and the variance of the number of smokers. Exercise 2 Total cholesterol values for a certain population are approximately normally distributed and has a mean of 200 mg/100 ml and a standard deviation of 20 mg/100. a) Find the probability that an individual picked at a random from this population will have a cholesterol value Greater than 225 mg/100ml. b) Find the probability that an individual picked at a random from this population will have a cholesterol value between 192 and 218 mg/100ml. c) Find the cholesterol level value that corresponds to the 60 percentile. d) Find the probability that a sample of 40 women picked at a random from this population will have an average cholesterol level less than 205 mg/100ml. Exercise 3 The average of serum cholesterol levels in a group of 20 Lebanese was 210 mg/dl and the Standard deviation of this sample was 1Img/dl. a) Estimate the population mean by constructing a confidence interval 95%. b) Will the interval be broader (larger) or narrower when using a =0.012 Exercise 4 In a sample of 150 hospital emergency admissions with a certain diagnosis, 128 listed vomiting as a presenting symptom 4- Calculate the 98% confidence level of the population proportion? b- Do these data provide sufficient evidence to indicate, at the C1 level of significance, that the population proportion is different from 92?​