during the repair of a large number of car engines, the spark-plugs were changed in 70% and the air-filter in 45% of case, and that both parts were changed 31.5% of case so
- is the replacement of spark-plugs independent of the replacement of the air filter? and reason ?
-find the probability that in repairing an engine for which the spark-plugs have been changed it with also be necessary to replacement the air-filter?
Stacey Warren - Expert brainly.com
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Let the replacement of spark-plug be event A and the replacement of the air-filter vbe event B. Events A and B are independent if (and only if) the following is true:
\[P(A \cap B)=P(A) \times P(B)\]
In this case
\[P(A \cap B)=0.315\]
P(A) = 0.7 and P(B) = 0.45
Can you now find whether or not the events are independent?