Hand written work please

According to the Center for Client Retention, 30% of callers to automated customer-service systems will automatically opt to go to.a live operator when given the chance. On average, the expected number of callers on a given day is 6. Consider a random and independent sample of 20 callers who contact an automated customer-service system, what is that probability that: 1. At least 5 but not more than 12 opt not to talk to a live operator? 2. Less than 7 or more than 11 opt to talk to a live operator? C 3. Fewer than 4 opt not to talk to a live operator? 4. Exactly one will automatically opt to talk to a live operator