A quality control officer was checking the quality of a product on the manufacturing line. For an individual product, the probability that it is defective is 0.05. We may treat the individual products as independent Bernoulli trials. Suppose the inspector stays on the line until the third defective product is observed. What is the probability of observing ten non-defective products before the third defective product was observed? The director of human resources on a university campus selects two employees
A quality control officer was checking the quality of a product on the manufacturing line. For an individual product, the probability that it is defective is 0.05. We may treat the individual products as independent Bernoulli trials. Suppose the inspector stays on the line until the third defective product is observed. What is the probability of observing ten non-defective products before the third defective product was observed? The director of human resources on a university campus selects two employees
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:2. A quality control officer was checking the quality of a product on the
manufacturing line. For an individual product, the probability that it is defective is
0.05. We may treat the individual products as independent Bernoulli trials.
Suppose the inspector stays on the line until the third defective product is
observed. What is the probability of observing ten non-defective products before
the third defective product was observed?
3. The director of human resources on a university campus selects two employees
for a certain job from a group of six employees. This group consists of one
female and five males. What is the probability that the female is selected for one
of the jobs?
4. In an assembly line production using industrial robots, a particular component
can be installed on the main product in 90 seconds if holes have been drilled in
the component and 12 minutes if the holes have to be re-drilled on the
component. Twenty of the components are in stock and it is assumed that two
will have improperly drilled holes. Five of the components are selected at random
from the twenty for installation for the next five robots in line. What is the
probability that all five components will fit properly?
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