In: Statistics and Probability
Statistical Probability.
A recent study measures customer satisfaction calls and the number of profits a company made. In order to improve the numbers and satisfaction of customers, the leadership team assigns employees into two types of groups. The first group is video conference support (VCS) and the second group is telephone support (TS). All groups have same amount of calls they receive for support purposes.
Over time, leadership observes that 72% of all customers called into their VCS. Out of all of the VCS callers, 5% of them were unhappy.
Out of all of the TS customers, 2% were unhappy.
Use this data to compute the following questions and note the numerical data:
1. The probability that an order is from TS and a customer is unhappy with their order is____?
2. The probability that an order is from TS, given that the customer is unhappy with their order is ___?
3. The probability that an order is from VCS and a customer is HAPPY with their order is____?
4. If the leadership observes two independent service requests, the probability that both orders are from customers who are unhappy with their orders is _____?
Show your work for each question.