Question: In a certain type of automobile engine, the cylinder head is fastened to the block by 10 bolts, each of which should be torqued to

In a certain type of automobile engine, the cylinder head is fastened to the block by 10 bolts, each of which should be torqued to 60N· m. Assume that the torques of the bolts are independent.

a. If each bolt is torqued correctly with probability 0.99, what is the probability that all the bolts on a cylinder head are torqued correctly?

b. The goal is for 95% of the engines to have all their bolts torqued correctly. What must be the probability that a bolt is torqued correctly in order to reach this goal?

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