You are responsible for quality control for a company that manufactures gizmos. The company owns two manufacturing plants.The old plant is responsble for 35 % of the gizmos produced in a week.Experience has shown that 1.6 % of the gizmos from the old plant are defective, while only 0.7 % from the new plant are defective.For quality control, you selected a random gizmo and found that it was defective. What is the probability that it was produced in thenew plant?

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A bank recently discovered that approximately 1.6% of all commercial loans issued by the bank become delinquent. Norah, the bank's vice president of operations, is stunned by this discovery. In order to be prepared for the next board meeting, she investigates the matter by randomly selecting 554 commercial loans from the bank’s database and reviewing each loan. What is the probability that at least 12 of the loans in the sample are delinquent? Use Excel to find the probability. Round your answer to four decimal places.
A statistics professor asked her students whether or not they were registered to vote. In a sample of 50 of her students (randomly sampled from her 700 students), 35 said they were registered to vote.What is the probability that the true proportion of the professor's students who were registered to vote is in your confidence interval?
A study reported that about 40% of high school students have tried out for a sport at their school. To find out if this applies to Jessica’s school, she surveyed an SRS of 20 students. Nine of them said that they had tried out for a sport. To see if this result is surprising, a simulation is to be conducted to estimate the probability of obtaining a sample result as high as this one. Let 0–3 represent students who tried out for a sport and 4–9 represent students who did not try out for a sport. Using the line of random numbers to run one simulation, what proportion of students tried out for a sport? 0.40 0.45 0.50 0.60
A project has a 60% of super success earning $50,000, a 15% chance of mediocre success earning $20,000, and a 25% probability of failure losing $30,000. What is the EMV of the project?
In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 299. What is the probability that the sample proportion will be at least 5 percent more than the population proportion?
Analysts expects that 11% of all publicly traded companies will experience a decline in earnings next year. If a company is headed for a decline, there is a 74% chance that this ratio will be negative. If the company is not headed for a decline, there is only a 20% chance that the ratio will be negative. The analyst randomly selects a company and its ratio is negative. What is the probability that the company will experience a decline?
In a recent year, speaking characters in movies were 68.2% male. What is the probability of randomly selecting a character with a speaking part and getting a female? What should be the value of that probability?
State the predicted probability of being a 53 year old menopausal woman whose hemoglobin level is 15?
An assembly line produces a tool. The parts are independently sampled one at a time and tested for compliance. Historically, 0.15 of the parts have been found to be non-compliant. What is the probability that the 6th sampled part will be the 3rd part found to be non-compliant?
You are analysing a factory. Stage 3 of the manufacturing process has a 70% chance of finishing on time. If it does finish on time, the chance of Stage 4 finishing late is 25%. The overall chance of Stage 4 finishing on time is 64.875%. What is the chance that Stage 4 finishes late if Stage 3 finished late?

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