Question

In: Statistics and Probability

Use number 3 to solve for number 4 3.) The order data for Nano cars Inc....

Use number 3 to solve for number 4

3.) The order data for Nano cars Inc. for the last 200 months is as follows: 40 months got 40 orders, 50 months got 60 orders, 35 months got 70 orders, 30 months got 105 orders, 25 months got 120 orders, and 20 months got 155 orders. (10 Points)

  1. Show the probability distribution of number of ordersreceived by Nano cars Inc. per month in a table format.
  2. Show the same probability distribution as a histogram
  3. Calculate the mean, variance, and standard deviation of number of orders received by Nano cars Inc. per month.

4.     Suppose that it costs $50,000 per month to run the operations of the business in problem # 3 and that the selling price of the car is $25,000. Let Y represent a random variable that represents the monthly profit of the Auto Company. (10 points)

  1. Express Y as a linear function of X.
  2. Show the probability distribution of Y (in a table format)
  3. Compute the mean, variance, and standard deviation of Y utilizing the formulas used in class when discussing the concept on “linear functions of a random variable.”

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