Assignment:
Instuctions: You are to work independently on this assignment. You may use MINITAB 17 to obtain binomial and normal probabilities, but you will also need to perform probability calculations. It is a good idea to show your work for these problems. If you use Minitab, just paste Minitab results into your WORD document. Submit your completed assignment as one WORD document to the drop box by the deadline.
1. The IT manager at a large company has developed the following probability distribution for the number of interruptions per day.
(a) What is the expected number of interruptions per day?
(b) What is the standard deviation in the number of interruptions per day?2. Researchers testing a new medication that is effective for treating celiac disease find that 1% of users have serious side effects. Suppose a GI specialist prescribes this medication to 10 of her patients.
(a) What is the probability that exactly 2 patients will experience serious side effects?
(b) What is the probability that at most 2 patients will experience serious side effects?
(c) How many patients would you expect to experience serious side effects?
(d) What is the standard deviation in the number of patients experiencing serious side effect?
3. Suppose that job satisfaction scores for airline industry employees are approximately normally distributed with a mean of 100 and standard deviation of 12.
(a) What percentage of airline industry employees has job satisfaction scores above 90?
(b) What percentage of airline industry employees has job satisfaction scores between 90 and 120?
4. According to Travel and Leisure, the average hotel price in the Miami area is $180 per night. Assume the standard deviation for this population is $20. If a random sample of 64 hotels is selected.
(a) What is the probability that the sample mean will be more than $185?
(b) What is the probability that the sample mean will be between $175 and $185?
5.The Social Media and Personal Responsibility Survey found that 70% of parents are "friends" with their children on Facebook. Suppose a random sample of 100 parents is selected.
(a) What is the standard error of the proportion?
(b) What is the probability that, in this sample, more than 65% of the parents is "friends" with their children on Facebook?