Predicting Extraction for an Existing Tower with a Given Number of Steps. An existing tower contains 5.0 theoretical steps. It is desired to predict its performance under the following conditions….
Find the mean and standard deviation of the length of time that four bulbs will last.
1. If X and Y are independent random variables with means μX = 9.5 and μY = 6.8, and standard deviations σX = 0.4and σY = 0.1, find the means and standard deviations of the following:
b. Y − X
c. X + 4Y
2. The bottom of a cylindrical container has an area of 10 cm2 . The container is filled to a height whose mean is 5cm, and whose standard deviation is 0.1 cm. Let V denote the volume of fluid in the container.
a. Find μV .
b. Find σV .
3. The lifetime of a certain transistor in a certain application has mean 900 hours and standard deviation 30 hours. Find the mean and standard deviation of the length of time that four bulbs will last.