Provide an appropriate response. 6) The table lists the smoking habits of a group of college students. Nonsmoker Re ular Smoker Heav Smoker Total Man 174 Woman 218 Total 392 If a student is chosen at random, nd the probability of getting someone who is a man or a nonsmoker. Round your answer to three decimal places. 7) Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards. Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. 8) The number of 5-digit pin codes if no digit can be repeated Provide an appropriate response. 9) How many different permutations of the letters in the word PROBABILITY are there? 10) Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of at most three boys in ten births. 11) Find the area of the indicated region under the standard normal curve. -u.45 g 2.11 Provide an appropriate response. Use the Standard Normal Table to find the probability. 12) Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The US. Army requires that the heights of women be between 58 and 80 inches. If 200 women want to enlist in the US. Army, how many would you expect to meet the height requirements? Provide an appropriate response. 13) Use a standard normal table to nd the zscore that CUTIESPOHdS to the 80th 13] percentile. 14) The weights of people in a certain population are normally distributed with a mean of 157 lb and a standard deviation of 23 lb. Find the mean and standard error of the mean for this sampling distribution when using random samples of sizes. 15) A recent survey found that 72% of all adults over 50 wear glasses for driving. You randomly select 33 adults over 50, and ask if he or she wears glasses. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation, If not, explain why