can anyone help me with this

priya99

New Member
A soft drink bottling company maintains records concerning the number of unacceptable bottles of soft
drink obtaining from the filling and capping machines. It is learned that 1% of the bottles from Machine I
is non-confirming and 2.5% of the bottles from Machine II is non-confirming. Half of the bottles are
filled by Machine I and the other half are filled by Machine II.
(a) Draw a well-labelled probability tree diagram with joint probabilities calculated to
illustrate this information.
(b) If a bottle is selected randomly, find the probability that the selected bottle
(i) is non-confirming;
(ii) is filled by Machine I and it is confirming
(iii) is filled by Machine II given that it is non-confirming.

hlsmith

Less is more. Stay pure. Stay poor.
Watcha you think the solutions are? Which part in particular method s giving you difficulty?

katxt

Active Member
Google "probability tree" images and draw something like that. Start with machines. Put the information on.

Karabiner

TS Contributor
Would it perhaps help you if you started using frequencies, not percentages? I.e.
Machine 1 produces 100 bottles, 1% of them (= xx bottles) are non-confirming
Machine 2 produces the same amount of bottles as machine 1, and 2,5% (= xxx bottles)
are non-confirming.