Question

4. (8 Points) A group of students from A&M developed a 3D printer to manufacture bolts. However, the printer is not stable with 30% of time not functioning properly. When the printer functions properly, the probability of making defective bolts is 0.1; when it does not, it will make defective bolts with a probability 0.4. Assume that during a demonstration, the state of the 3D printer remains the same (either functioning properly or not properly) and the 3D printer manufactures 6 bolts in a roll. a) (2 Points) What is the probability that any given manufactured bolt turns out to be defective? b) (3 Points) What is the probability that among the 6 manufactured bolts, exactly 2 of them turn out to be defective? c) (3 Points) Given that among the 6 manufactured bolts, exactly 2 of them turn out to be defective, which is more likely, the printer functions properly or not properly?

          4. (8 Points) A group of students from A&M developed a 3D printer to manufacture bolts.
However, the printer is not stable with 30% of time not functioning properly. When the
printer functions properly, the probability of making defective bolts is 0.1; when it does not,
it will make defective bolts with a probability 0.4. Assume that during a demonstration,
the state of the 3D printer remains the same (either functioning properly or not properly)
and the 3D printer manufactures 6 bolts in a roll.
a) (2 Points) What is the probability that any given manufactured bolt turns out to be
defective?
b) (3 Points) What is the probability that among the 6 manufactured bolts, exactly 2
of them turn out to be defective?
c) (3 Points) Given that among the 6 manufactured bolts, exactly 2 of them turn out
to be defective, which is more likely, the printer functions properly or not properly?

4. (8 Points) A group of students from A M developed a 3D printer to manufacture bolts.
However, the printer is not stable with 30% of time not functioning properly. When the
printer functions properly, the probability of making defective bolts is 0.1; when it does not,
it will make defective bolts with a probability 0.4. Assume that during a demonstration,
the state of the 3D printer remains the same (either functioning properly or not properly)
and the 3D printer manufactures 6 bolts in a roll.
a) (2 Points) What is the probability that any given manufactured bolt turns out to be
defective?
b) (3 Points) What is the probability that among the 6 manufactured bolts, exactly 2
of them turn out to be defective?
c) (3 Points) Given that among the 6 manufactured bolts, exactly 2 of them turn out
to be defective, which is more likely, the printer functions properly or not properly?

Added by Amanda J.

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