Question: please help me out with the following: 1. Classify the following variables as qualitative, quantitative discrete, or quantitative continuous. a. Students enrolment in Yorkville University

please help me out with the following:

please help me out with the following: 1. Classify the following variables

1. Classify the following variables as qualitative, quantitative discrete, or quantitative continuous. a. Students enrolment in Yorkville University over the recent three years b. Length of time of residence in a city c. Number of siblings d. Highest education degree obtained What is the difference between qualitative and quantitative graphs? You can explain by providing examples. 2. A very large batch component has arrived at a distributor. 10% of the components in the batch are defective but the distributor does not know the exact percentage of the defective components. He decides to randomly select 10 components and to accept the batch only if the number of defective components in the sample is at most 2. a. What is the probability that the batch will be accepted? b. What is the probability that among 10 components, 5 of them are defective? c. What is the probability that among 10 components, 3 or 4 of them are defective? 3. Time that is needed to fix a car engine problem follows a normal distribution with mean of 48 and std of 5 minutes. A mechanics tells a customer that it takes maximum of 1 hour to fix the engine. a. What is the probability that the mechanic's estimation about the time does not happen? b. If the mechanic wants to give an estimation about time with 98% confidence, what would be the time? 4. A company is producing a product that its size has a normal distribution with mean of 7 and std of 0.1. A product that has a size of is called a standard product. Producing a standard product has 1250 profit. If a product is smaller than 6.91 it is not useable and will result in 1050 $ of negative profit. If the product is bigger than 7.09, producer will be able to fix it and make it as a standard product by spending 200$. Calculate the expected profit for producing a product. 5. A random sample consisting of 200 business executives working in the Downtown area is drawn and they were asked to answer a set of questions. One question in the survey asked about their annual salary and another about their annual expenses on luxury goods. We regress the spending on salary, and the regression has R2 = 0.884. a. Interpret the result of the R2 value in this context. b. "Despite the high value of R2, a linear regression model may not be appropriate." Comment

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