Today, mobile devices have become central to daily living. In the United States, 90% of adults own a cell phone, and nearly 51% of them rely solely on cellular service without landlines. A Pew Research survey of 2252 adults revealed that 29% cannot imagine life without their phones. While cell phones make people more connected, challenges remain: 72% of users report dropped calls, and 68% receive unwanted sales messages. On average, an American sends and receives 32 texts daily. Questions – 1. A study shows that nearly 51% of U.S. cell phone users depend only on mobile service (no landline). If 20 Americans are selected at random, what is the probability that more than 12 use only cell phones? 2. Since 90% of American adults own a cell phone, if 25 adults are chosen randomly, what is the probability that fewer than 20 own a cell phone? 3. The average American sends about 16 texts daily (during 12 waking hours), or approximately 4 texts every 3 hours. Based on this: What is the probability that an American sends no texts in a 3-hour period? · What is the probability that an American sends 2 or more texts in a 3-hour period? 4. Recent reports suggest that 62% of smartphone users check their phones within 15 minutes of waking up. If 10 users are randomly selected, what is the probability that at least 7 check their phones within 15 minutes of waking? 5. On average, Americans spend about 3 hours per day on their cell phones. Suppose the daily usage follows a normal distribution with a mean of 3 hours and a standard deviation of 1 hour. · What is the probability that a randomly chosen person spends more than 4 hours on their phone per day? · What is the probability that someone spends between 2 and 4 hours per day?