I: Using the Binomial Formula and Binempdf: 1. Seventy-five percent of all U.S. businesses have a Web site. If you randomly select 10 small businesses, what is the probability that exactly four of them have a Web site? Binomial Formula: Binompdf: 2. Fifty percent of working adults spend less than 20 minutes commuting to their jobs. If you randomly select 6 working adults, what is the probability that exactly 3 of them spend less than 20 minutes commuting to work? Binomial Formula: Binempdf: 3. The results of a recent survey indicate that 71% of Americans believe that they are overweight. If you randomly select 250 Americans, what is the probability that exactly 178 of them believe that they are overweight. Binomial Formula: Binempof4. A survey indicates that 41% of American women consider reading as their favorite leisure time activity. You randomly select four women and ask them if reading is their favorite leisure-time activity. Draw a number line indicating the possible outcomes and circling the outcomes for which you are calculating the probabilities and fud the probabilities that: a. fewer than 2 of them will respond Yes. b. at least two of them will respond Yes. 5. A surgical technique is performed on 12 patients. You are told there is a 70% chance of success. Find the probability that the surgery is successful for a. less than 7 patients. b. more than 8 patients. c. at least 5 patients. d. fewer than 6 patients. e. more than 5 but less than 10 patients.6. Suppose you estimate that approximately 8% of students on campus smoke. You decide to do a study about smoking and you randomly recruit 250 students to participate. a. Estimate the mean and st. deviation for this binomial situation. b. Would you be surprised if your sample contained 26 smokers? Why or why not? c. Would you be surprised if your sample contained 16 smokers? Why or why not? d. Would you be surprised if your sample contained 33 smokers? Why or why not