Please Show all work! 1-6

The following homework questions are due by the end of the week (Sunday, Sept. 18). All work should be shown and the assignment should be scanned and uploaded into the correct assignment tab in the Canvas site for the course. 1. The average typing speed for a college student is 44 words per minute (with standard deviation of 12 wpm). If typing speeds are normally distributed, what is the probability a student chosen at random would have a typing speed of less than 35 words per minute? Would this be unusual? 2. Using the information from problem 1, what is the probability that the average SAT score for 14 random students will be between 55 and 65 wpm? 3. Using the information from problem 1, what is the probability that the average typing speed for a group of 11 students would be less than 35 words per minute. Would this be unusual? 4. The probability of a first marriage by age 30 is . 74 for a female, and .61 for a male. What is the probability that of a group of you and 9 of your friends of your gender (for a total of 10 people) would all have a first marriage by age 30? 5. 70 percent of U.S. households own a pet. If you randomly selected 16 U.S. households, what is the probability that less than 10 of them would own a pet? 6. How many households out of 16 (from question 5) would you expect to own a pet