Spring 2022 Math 110 Elementary Statistics Exam 2 Chapters 5,6,7,8 Name For EVERY problem on this exam where there is work to be shown, you should show your work. Be clear and straight to the point. Use correct notation. READ ALL INSTRUCTIONS. Work must be done onto this page. Work completed on blank paper will not be graded. 2. In a study, it is found that a certain type of insect has 30% of its eggs boys and 70% of its eggs girls. If this insect lays 14 eggs, then find the probability that the number of boy eggs is either 4 or 5 out of the 14 total. Use correct notation in your work. Round correctly. (12 points) 3. The mean height of women in Sweden is 5.282 feet with a standard deviation of 0.197 feet. (a) Suppose we select one women from Sweden randomly and compute the sample mean. What is the probability that this mean is greater than 5.6 feet? (7 points) (b) Suppose we select 10 women from Sweden randomly and compute the sample mean. What is the probability that this mean is greater than 5.4 feet? (7 points)