Question

PLEASE ANSWER THE THREE MATH EQUATIONS:

EXERCISE 42 (LO7-1) A tube of Listerine Tartar Control toothpaste contains 4.2 ounces. As people use the toothpaste, the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. From this information, we can determine the following information about the amount remaining in a toothpaste tube without invading anyone's privacy. How much toothpaste would you expect to be remaining in the tube? What is the standard deviation of the amount remaining in the tube? What is the likelihood there is less than 3.0 ounces remaining in the tube? What is the probability there is more than 1.5 ounces remaining in the tube?

EXERCISE 45 (LO7-2) The net sales and the number of employees for aluminum fabricators with similar characteristics are organized into frequency distributions. Both are normally distributed. For the net sales, the mean is $180 million and the standard deviation is $25 million. For the number of employees, the mean is 1,500 and the standard deviation is 120. Clarion Fabricators had sales of $170 million and 1,850 employees. Convert Clarion's sales and number of employees to z values. Locate the two z values. Compare Clarion's sales and number of employees with those of the other fabricators.

EXERCISE 68 (LO7-3) In establishing warranties on HDTVs, the manufacturer wants to set the limits so that few will need repair at the manufacturer's expense. On the other hand, the warranty period must be long enough to make the purchase attractive to the buyer. For a new HDTV, the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months. Where should the warranty limits be set so that only 10% of the HDTVs need repairs at the manufacturer's expense?

Answer 1

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