b) You visit your Manufacturing division, which has a machine producing metal bolts. In a tray...
b) You visit your Manufacturing division, which has a machine producing metal bolts. In a tray of these bolts, 94% are within the allowable diameter tolerance value. The remainder exceed the tolerance. You withdraw six bolts at random from the tray. Determine the probabilities that;
(i) Two of the six bolts exceed the diameter.
(ii) More than two of the six bolts exceed the diameter.
Homework Answers
Here P(Witning allowable diameter tolerance value) = p = 0.94
P(Not within allowable diameter tolerance value) = q = 0.06
Here number of bolts = n = 6
(i) P(x = 2) = BINOMIAL (x = 2; n = 6; q = 0.06) = 6C2 (0.06)2(0.94)4 = 0.0422
(ii) P(x > 2) = 1 - P(x 
2) = 1 - BINOMIAL (2; 6 ; 0.06; true) = 1 - 0.9962 =
0.0038
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