Question 823573: Please help with these questions urgently.
Question 4 (7 marks = 1 + 1 + 1 + 1 + 1 + 1 + 1)
If the sales shown in the file CAR_SALES.xls are in random order, calculate the chances that:
a. The first 4 cars sold are green
b. Only one green car is sold out of the first four sales
c. No green cars are sold out of the first four sales
d. At least one green car is sold out of the first four sales
e. Two Green cars and two red cars are sold as the first four sales
f. The third and fourth cars sold are red given that the first two cars sold are
i. Red
ii. Not red
Question 5 (4 marks = 1 + 1 + 1 + 1)
When a customer places an order with Rudy’s Online Office Supplies, a computerised accounting information system (AIS) automatically checks to see whether the customer has exceeded their credit limit. Past records indicate that the probability of customers exceeding their credit limit is 0.05. Suppose that, on a given day, 20 customers place orders. Assume that the number of customers that the AIS detects as having exceeded their credit limit is distributed as a binomial random variable.
a. What are the mean and standard deviation of the number of customers exceeding their credit limits?
b. What is the probability that no customer will exceed their limit?
c. What is the probability that one customer will exceed their limit?
d. What is the probability that two or more customers will exceed their limit?
Question 6 (6 marks = 1 + 1 + 1 + 1 + 2)
A customer service manager of a NSW bank is monitoring one of its call centres servicing a rural region. Suppose that on average the call centre receives 180 calls an hour during its operating hours of 8am to 6pm. Assuming the number of calls received in a given interval is Poisson, calculate the probability that
a. In any given minute exactly two calls will be received
b. More than two calls will be received in a minute
c. The number of calls received in 5 minutes is at least 20
d. The number of calls received in 5 minutes is less than 10
At current staffing levels calls start to queue, increasing the time it takes to answer a call, when the number of calls received in 5 minutes is 20 or more. However, when there are less than 10 calls in 5 minutes, more than one customer service officer is usually available, increasing unproductive staff time.
e. What conclusions can you draw from parts (c) and (d)
Answer by psbhowmick(878)   (Show Source):
|
|
|
