These braking systems operate independently of one another


Assume that the probability that the air brakes on large trucks will fail on a particularly long downgrade is .001. Assume also that the emergency brakes on such trucks can stop a truck on this downgrade with probability .8. These braking systems operate independently of one another. Find the probability that

(a) the air brakes fail but the emergency brakes can stop the truck

(b) the air brakes fail and the emergency brakes cannot stop the truck

(c) the emergency brakes cannot stop the truck given that the air brakes fail.

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Basic Statistics: These braking systems operate independently of one another
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