89.

90.

91.

099/23

The expected time to complete a project is estimated to be 42 weeks with a standard
deviation of 2 weeks. What is the probability of completing the project by the scheduled
time, if the scheduled time is given as 48 weeks ?

A) 0.9973 B) 0.9545
C) 0.9987 D) 0.6827

An X — control chart has shown a point above the control limit (UCL) during the
monitoring period. The quality engineer suspected the process and finally could not
find any assignable cause for the above situation. Finally, he concluded that this is
a false alarm. The false alarm probability depends on

A) Sample size only

B) Sample size and sampling interval

C) Control limit coefficient only

D) Control limit coefficient and shift parameter

The primal LP is given as follows :
Min Z = x, + 2x,
S.T. 2x, + 4x, < 160
>1 - 2 = 30
210
and x,,x,20

The dual of the problem is :

A) Min W = -2\/1 - 2/2 B) Max W =-2y, - 2y,
S.T. 2y, + 4\/2 = 160 8.1. 2\/1 + 4\/2 = 160
‏0ھ ولا - ہلا 30 ولا- ہلا‎
‏ہلا‎ 0 y,210
and y,,y,20 ‏ولا ہلا‎ 0

,ل10۷ + 30 + ,۸ 160۷- - ۱۸۵۸۰۷۷ )0 10۷ + و30۷ - ر30۷ + ,160۷۷- - ۱۸۵۰۷۱۷۷ )©

1 كيلا + لا + رلا2 - .8.1 1 كيلا + ولا - ولا + 2\/1 - ‎S.T.‏
‎—4y,-y<2‏ 2ك ولا + ولا- رلا4 -
‎Yas Yq 20 ೫1೫೭೦‏

and yo, yg unrestricted in sign y unrestricted in sign

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