a) Suggest a suitable distribution to model the number of customers arriving at the counter, X, per minute. b) State clearly any assumptions you have made by suggesting this model.
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![Customers arrive at a bank counter at an average rate of 30
customers per hour.
a) Suggest a suitable distribution to model the number of
customers arriving at the counter, X, per minute.
b) State clearly any assumptions you have made by suggesting
this model.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0453f204-f9ae-4ef7-86ca-355b1874dcff%2F1ff04493-0609-4b6e-9c46-bda946744a8e%2Fzyqgv6c_processed.png&w=3840&q=75)
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- Please answer quickly and correctly The Samsung plant in Newberry is an assembly plant for home appliances. They assembly three types of appliances including washing machine, dishwasher, and oven (reference by W, R, and O). Each type of appliance is produced in a different assembly line which has some amount of output per day. Let’s imagine a quality engineer has gathered the following data in Table 1 from a small period of production, counting the number of products with defects and without defects. Let D indicates a defective product and ND indicates not defective. Washing Machine Dishwasher Oven: Defective 5 2 15 Not defective 63 86 45 Table 1: Number of products with and without defects by type a. Overall, what is the probability that a randomly selected product is defective? b. What is the probability that a randomly selected product is an oven? c. What is the probability that a product is defective, given it is an oven? d. What is the probability that a product is…For the following line graph, State at least one type of conclusion that could be made from the data provided for the KPI. Suggest one other data source that would provide more information to make data-driven decisions. Explain what information that source would supply. I used the line graph btw. Examples: 1)The KPI webpage for South Texas College provides information on the proportion of graduates who find employment. According to the data, over the past five years, the proportion of graduates who find work has risen annually. Data on the percentage of students who are employed in their field of study after graduation, the percentage of students who are employed full-time after graduation, and the percentage of students who are satisfied with their job after graduation would also be useful in making decisions about post-graduation success. This information would shed light on the factors that are causing the rise in the proportion of graduates who find employment. 2)The…15) The intercept is 0, the autoregressive coefficient is 0.2 and the moving average coefficient is 0.5 in an ARIMA(1,1,1) model. What is the one-step ahead forecast if the shock for the current period is -2 and the current and one-period lagged values of the forecast variable are 110 and 105?
- ) Mars, Inc. states that 24% of its M&M plain candies are blue and that 16% are green. Assume that they are correct and a large random sample of plain M&Ms is randomly selected from the factory.a.) What is the probability that three candies selected from the sample will be either both greenor both blue?b.) What is the probability that if four candies were selected from the sample that at least onewould be not green and not blue?c.) What is the probability that if twenty M&Ms were eaten randomly from the sample, thatexactly six of them would be green? d.) Find the mean and standard deviation for the above binomial probability distribution inpart c. Based on that, would it be unusual that exactly six would be green from a randomselection of twenty M&Ms? Why or why not?I have collected real data on the sale of a microwavable cup of soup across 20 different cities for the same time period (a month). The variables in the dataset are: Quantity sold in the city for that month: Measured in thousands of units Price: measured in dollars Average Income in the city: Measured in thousands of dollars Ads: Average number of ads run in stores for that city during that month. Price of a substitute product: measured in dollars Population of the city: measured in thousands of people The dataset is on Canvas and, using Excel or any other statistical software, please answer the following questions: 1. Describe the patterns in quantity sold and own and rival prices during this time period using basic descriptive statistics. Graphs are welcome as well. 2. Take the logs of the variables, and estimate the demand function. a. Interpret the R-square. b. Interpret the coefficients for logP and logPsub c. Interpret the p-values associated with each independent…The grade of OMG 321 was normally distributed with a mean of 81 and a standard deviation of 3. (round z value to the second decimal and probability to the fourth decimal place)
- Need help with this question.Matthew the Barber owns a one-chair shop. At barber college, they told Matthew that his customers would exhibit a Poisson arrival distribution and that he would provide an exponential service distribution. His market survey data indicate that customers arrive at a rate of two per hour. It will take Matthew an average of 20 minutes to give a haircut. Based on these figures, find the following: Part (a): The average number of customers waiting. Part (b): The average time a customer waits. Part (c): The average time a customer is in the shop. Part (d): The average utilization of Matthew's time.For the following situations, identify the type of variable (qualitative, nominal, ordinal, quantitative, discrete, continuous, interval, ratio), multiple types may apply. 1) Data of weight gain of rats fed only junk food for four weeks in an experiment. 2) Data collected from the order that students finsih their exam. 3) Time it takes for a car battery to die
- The following table contains the average number of employees per 100 hectares (x) and the production rate per 100 hectares (y) at 15 different farms in a region. y 7.5 404 16.6 702 10.9 507 6.5 385 10 464 12.1 495 8.6 400 10.2 503 7.5 310 268 6.2 280 12 596 17.1 711 14.1 551 6.1 242A) Y=1566.67x + 1716.67 B) Y= 3x + 2000 C) Y= 4700x + 1500 D) Y= x + 1700IV. APPLICATION AND ANALYSIS ON QUEUING THEORY. Direction: Given the following assumptions, derive the answer/s for each question. In answering the questions, copy the questions into the Output Area and write your answers after each question. Assumptions: Mean Arrival Rate (2) = 3 customers/hour Number of Ser vers (C ) = 1 Mean Service Rate (U) = 4 customer s/hour 1. Calculate and determine the Occupation Rate. (p) 2. What is the average number in system average (L)? 3. Determine the average system in system (W). 4. What is the average time in queue (Wq)? 5. Determine the length of queue (Lq). Capacity Demand p = Available Capacity u =- L=p/(1- p) Lq= p2/(1- p) = L-p W=LA=1/(u- 2) We-Lψλ- λ( μ(μ- λ)
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