. A company selects three washing machines from their manufacturing line for quality testing. Call these...

. A company selects three washing machines from their manufacturing line for quality testing. Call these three washing machines A, B and C. Each washing machine can be of high quality (suitable for sale), medium quality (requires some rework) or low quality (will be scrapped). [5 points each]

a. List the elements of the sample space. You need to consider that each washing machine might be of each quality type and don’t forget to include all three washing machines.

b. A subset of sample space corresponds to the event H=“All washing machines are of high quality”. List the points from your sample space that are in the event H.

c. A subset of sample space corresponds to the event K=“Exactly one washing machine is of low quality”. List the points from your sample space that are in the event K.

d. Are events H and K mutually exclusive? You must justify your answer.

e. Are events H and ?? mutually exclusive? You must justify your answer.

f. Are events H and K independent? You must justify your answer.

g. Are events H and ?? independent? You must justify your answer.

h. What sample points, if any, are in the event ?? ∪ ???

Expert Solution

orchestra answered 2 years ago

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