The number of pumps in use at both a sixpump station and a f

The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables: T = the total number of pumps in use X = the difference between the numbers in use at stations 1 and 2 U = the maximum number of pumps in use at either station Z = the number of stations having exactly two pumps in use

Solution

a. T=The total number of pumps in use

    T= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10}

b. X= the difference between the numbers in use at stations 1 and 2 is

   X = {6,5,4,3,2}

c. U= the maximum number of pumps in use at either station

   U= {4,6}

d. Z=the number of stations having exactly two pumps in use

   Z= {1,2}