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20-Station Assembly Line Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an inspection step singles out the defective units. The inspection step catches 80% of all defects. From inspection, units that are deemed to be non-defective are moved to the shipping department. If a defect is found at inspection, it is sent to the rework department. Rework fixes about 95% of the defective units. Units are directly shipped from the rework department with no further inspection taking place. What is the probability that a unit […]

How many elements are in the following sample space? A coin is tossed three times and the number of T’s (tails) is recorded. Describe the sample space for the following experiment: Two people are asked if they smoke regularly, and the number of people answering affirmatively is recorded. Give your answer using set notation, i.e. list all elements of the sample space in braces {} and separate them with a comma. Do not include spaces. Consider the sample space of the following experiment: We roll two dice and each time we record the sum of the numbers we got on both of […]

1.The mean height of women in a country​ (ages 20−​29) is 64.4

What three quantities are needed to calculate the variance? 

Buses arrive at a specified stop at 15-minute intervals starting at 7:00 A.M. That is, they arrive at 7:00, 7:15, 7:30, 7:45,….. A passenger arrives at the stop with probability f(x): f(x)= {1/30 if 0 ≤ x ≤ 30, 0 otherwise where X is the R.V. denoting the number of minutes passed 7:00 that the passenger arrives at the stop. As is evident, the passenger only arrives at the stop between 7:00 – 7:30 A.M. What is the probability that the passenger: A. Waits less than 5 mins. for a bus? B. Waits more than 10 mins. for a bus?