Telephone calls arrive at a global airline reservation office in Louisville according to Poisson distribution with a mean of 3.5 calls per minute what is the probability of receiving exactly 3 calls during a one minute interval
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- Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways. (Round your answers to four decimal places.) If no calls are currently being processed, what is the probability that the agent can take 2 minutes for personal time without being interrupted by a call?Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911 calls is a random variable that can be described by the Poisson distribution. a. What is the expected number of 911 calls in one hour? b. What is the probability of three 911 calls in five minutes? c. What is the probability of no 911 calls during a five-minute period?The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour.a. What is the average arrival time in minutes of customers?b. What is the average service time in minutes of the canteen?c. What is the probability that the canteen has a customer?d. What is the probability that the canteen does not have any customer?e. How long would the line be on average?f. How many people are waiting to be served on average?g. How long in minutes would it take the customer from lining up until he leaves the waiting line?h. How long in minutes would a customer wait to be served on average? i. Find the probability that there are 7 customers in the system.
- Westover Travel offers travel packages using both air and ocean travel. Westover offers two packages, Tourist and Premier, that differ in the accommodations, class of travel, and so on. Westover has a call center, which handles customer queries and complaints. The call center tracks the number of calls and the number of call - minutes for customers by the package they have purchased. Expected call center data for next month follow. Call center volume: Tourist Premier Number of calls 26,000 15,000 Number of call minutes 120,000 186, 000 Call center costs: Total Call - related $ 219, 350 Call minute - related 119,340 Total call center costs $ 338,690 The call center at Westover uses a two-stage cost allocation system: It uses the number of calls to allocate call - related costs and the number of call minutes to allocate call minute - related costs. Required: Compute the call - related overhead rate for next month. Note: Round your answer to 2 decimal places. Compute the call minute -…A customer support call center receives an average of 20 calls per hour, and it employs number of agents to answer the calls. If an agent takes on average 30 minutes to answer a call, what is the minimum number of agents need to ensure that average customer waiting time is less than 1 minutes? (You can assume CVa = CVp = 1). 17 15 13 11Historical data show that customers who download music from a popular Web service spend approximately $20 per month, with a standard deviation of $3. Assume the spending follows the normal probability distribution. Find the probability that a customer will spend at least $18 per month. How much (or more) do the top 7% of customers spend? What is the probability that a customer will spend at least $18 per month? 0.7475 (Round to four decimal places as needed.) How much do the top 7% of customers spend? (Round to the nearest cent as needed.)
- Assume that the traffic to the web site of Smileys People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.5 million visitors per day and a standard deviation of 820,000 visitors per day. a. What is the probability that the web site has fewer than 5 million visitors in a single day? b. What is the probability that the web site has 3 million or more visitors in a single day? c. What is the probability that the web site has between 3 million and 4 million visitors in a single day? d. Assume that 85% of the time, the Smileys People web servers can handle the daily web traffic volume without purchasing additional server capacity. What is the amount of web traffic that will require Smileys People to purchase additional server capacity?For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83. Construct a time series plot. What type of pattern exists in the data? Compare a three-month moving average forecast with an exponential smoothing forecast for α = 0.2. Which provides the better forecasts using MSE as the measure of model accuracy? What is the forecast for next month?On-time arrivals, lost baggage, and customer complaints are three measures that are typically used to measure the quality of service being offered by airlines. Suppose that the following values represent the on-time arrival percentage, amount of lost baggage, and customer complaints for 10 U.S. airlines. a. Based on the data above, if you randomly choose a Delta Air Lines flight, what is the probability that this individual flight will have an on-time arrival? b. If you randomly choose 1 of the 10 airlines for a follow-up study on airline quality ratings, what is the probability that you will choose an airline with less than two mishandled baggage reports per 1,000 passengers? c. If you randomly choose 1 of the 10 airlines for a follow-up study on airline quality ratings, what is the probability that you will choose an airline with more than one customer complaint per 1,000 passengers? d. What is the probability that a randomly selected AirTran Airways flight will not arrive on time?
- Westover Travel offers travel packages using both air and ocean travel. Westover offers two packages, Tourist and Premier, that differ in the accommodations, class of travel, and so on. Westover has a call center, which handles customer queries and complaints. The call center tracks the number of calls and the number of call-minutes for customers by the package they have purchased. Expected call center data for next month follow. Call center volume: Number of calls Number of call minutes Call center costs: Call-related Call minute-related Total call center costs Tourist 29,000 126,000 Required: Total $ 222,950 106,920 $ 329,870 The call center at Westover uses a two-stage cost allocation system: It uses the number of calls to allocate call-related costs and the number of call minutes to allocate call minute-related costs. Premier 16,500 198,000 a. Call related-overhead rate b. Call minute-related overhead rate c. Call center costs allocated to Tourist d. Call center costs allocated to…Assume Intervale Railway is considering hiring a reservations agency to handle passenger reservations. The agency would charge a flat fee of $13,000 per month, plus $3 per passenger reservation. What is the total reservation cost if 200,000 passengers take the trip next month? a. $613,000 b. $3.07 c. $600,000 d. $13,000A telephone call center where people place marketing calls to customers has a probability of success of 0.09. Find the number of calls needed to ensure that there is a probability of at least 0.79 of obtaining seven or more successful calls. (Hint: Start by checking the probability of seven or more successful calls in 80 calls.) The number of calls needed to ensure that there is a probability of at least 0.79 of obtaining seven or more successful calls is ☐ (Type a whole number.)