Chp 7 3) If a fair coin is tossed 10 times. What is the probability of obtaining the following: (Keep the fraction for all answers or round to 3 dec places) 2 pts a) Exactly 5 Heads? 2 pts b) At least One Tail? 2+2 pts (d c) If X= # of Heads obtained in this experiment of tossing a fair coin 10 times, what are the mean and standard deviation for X ? 10. god (X)9 (S%20L borith S+S q Chp 9 : 4) A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 463 students was x = 118 minutes. Suppose that we know that the study time has SD = 65 minutes in the population of all first-year students at this university (suppose the study follows a Normal Distribution). 4 pts a) Construct a 95% confidence interval for the mean study time of all first year students. Round the answers to 2 dec places. 2 pts b) Explain what the confidence interval says about the mean study time of all first year students.