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#3 Need this done asap please. Only need the answers in the format that the ques

ID: 3073360 • Letter: #

Question

#3

Need this done asap please. Only need the answers in the format that the question requests. Thanks alot in advance!

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. (Enter your answers in set notation.) (a) T the total number of pumps in use (b) Xhe difference between the numbers in use at stations 1 and 2 (c) U = the maximum number of pumps in use at either station u= (d) Z-the number of stations having exactly two pumps in use

Explanation / Answer

1)

HERE WE HAVE TWO PUMP STATIONS ONE WITH 6 PUMP OTHER WITH 4 PUMP

LET IN FIRST F ARE IN USE AND IN SECOND S ARE USE.

F IS IN 0 TO 6

S IS IN 0 TO 4

A) .

T = TOTAL PUMP ARE F+S

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

B). X= DIFFRENCE BETWEEN THEM=MOD(F-S)

X={0,1,2,3,4,5,6}

C) U=MAXIMUM NUMBER OF PUMP MAX(F,S)

U={0,1,2,3,4,5,6}

D) Z =NUMBER OF STATIONS HAVING EXACTLY TWO PUMPS

Z={0,1,2}

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