Question: c) Suppose we randomly sample 100 bolts produced by the machine. What is the probability that the total length across all 100 bolts is more

c) Suppose we randomly sample 100 bolts produced by the machine. What is the probability that the total length across all 100 bolts

is more than 100070111? (4pm) Problem 2. A machine produces osmium bolts

at a manufacturing plant. The machine is imperfect, so the lengths of

c) Suppose we randomly sample 100 bolts produced by the machine. What is the probability that the total length across all 100 bolts is more than 100070111? (4pm) Problem 2. A machine produces osmium bolts at a manufacturing plant. The machine is imperfect, so the lengths of the bolts vary ever so slightly. Suppose the length of the osmium bolts closely follow a Normal distribution with a mean of 10cm and a standard deviation of 0.05cm. a) Suppose we randomly select a single bolt produced by the machine. What is the probability the bolt is shorter than 9.9cm? (210:3) b) Suppose we randomly sample 50 bolts produced by the machine. What is the probability at least one of them is either longer than 10.15cm or shorter than 9.85cm? (63315.3)

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