Binomial Probability Distribution
A marketing poll revealed that 45% of Americans say they that they have dinner regularly as a family. You randomly choose 10 American families and ask if they regularly have dinner together as a family.
1. Does this situation meet the binomial requirements? Why or why not? Address the five conditions of a binomial distribution in the textbook.
2. What is the random variable in this problem? i.e., what does X represent and what values can it have?)
3. What is the probability that exactly 4 have regular family dinner?
4. What is the probability that 5 or fewer have regular family dinner?
5. What is the probability that at least 2 have regular family dinner?
6. What is the probability that at most 5 have regular family dinner?
7. What is the mean number of adults out of a sample of 10 that you would expect to have regular family dinner? What is the standard deviation of the distribution?