A family with two children is selected 2 points at random from a list of families with two children and the sexes of the two children were observed. Consider the following events defined on S = {(boy, boy), (boy, girl), (girl, boy), (girl, girl)}: * B event that there are two girls X event that there is at least one boy N event that there is no girl Which of the following is (are) NOT FALSE? 0 B , X, and N are mutually exclusive events 0 (BuX) is mutually exclusive with the event N 0 Both are true 0 None of the above In a random sample of 15 bowls raisin 2 point cereal, each with 3/4 cup of a cup of cereal and a 1/2 cup of skim milk, the mean number of calories is 220 with a standard deviation of 6. Assuming that the data is normally distributed, what is the 95% confidence interval for the mean number of calories of such bowls of cereal? * 0 (216.8570, 223.1430) 0 (216.9636, 223.0364) 0 (216.6770, 223.3230) 0 (216.6971,223.3029) 0 None of the above A survey indicates that for each visit 2 poi to a supermarket, the time spent by a shopper follows a normal distribution with mean and standard deviation of 45 and 12 minutes, respectively. What is the probability that he will stay in the supermarket for more than 40 minutes? * 0 None of the above A researcher discovered a fabric 2 poin1 made out from plant. Despite all efforts by the quality control department, the fabric always contains a maximum of 2 defects. A certain fabric made contains an average of 0.65 defects per 500 yards. Find the probability that a given piece of 500 yards of this fabric for the pet clothes will contain exactly 2 defects. * 0 None of the above If the raw data have 2 and 3 decimal places in creating a histogram. What will be the class size if the value of c is 2.4467? * O 2 O 2.4 O 2.44 O 2.446 0 None of the above The probability that a patient recovers from a delicate heart operation is 0.9. What is the probability that exactly 5 of the next 7 patients having this operation survive? * 0 None of the above