Question

In: Statistics and Probability

Suppose a computer chip manufacturer rejects 1​% of the chips produced because they fail presale testing....

Suppose a computer chip manufacturer rejects 1​% of the chips produced because they fail presale testing. Assume the bad chips are independent. Complete parts a through d below

​a) Find the probability that the third chip they test is the first bad one they find. The probability is __________

b) FInd the probability they find a bad one within the first 11 they examine _________

c) Find the probability that the first bad chip they find will be the fourth one they test _____________

d) Find the probability that the fifth chip they test is the first bad one they find  _______________

An Olympic archer misses the​ bull's-eye 14​% of the time. Assume each shot is independent of the others. If she shoots 8

​arrows, what is the probability of each of the results described in parts a through f​ below?

​a) Her first miss comes on the sixth arrow.

The probability is _____________

​(Round to four decimal places as​ needed.)

A manager at a company that manufactures cell phones has noticed that the number of faulty cell phones in a production run of cell phones is usually small and that the quality of one​ day's run seems to have no bearing on the next day.

​a) What model might you use to model the number of faulty cell phones produced in one​ day?

Geometric, Poisson, Binomial, Uniform ?

​b) If the mean number of faulty cell phones is 1.9

per​ day, what is the probability that no faulty cell phones will be produced​ tomorrow?

​c) If the mean number of faulty cell phones is 1.9

per​ day, what is the probability that 3 or more faulty cell phones were produced in​ today's run?

Solutions

Expert Solution

orchestra answered 1 year ago
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