You are experimenting with a new process for manufacturing high-energy-density batteries. Your technical staff tell you that the process should only produce 25% defectives. However, the first three batteries produced by the process all turn out to be defective. What are the odds on this happening if your technical staff are telling the truth? Select one: OA. 18.6% O B. 12.5% O C 8.3% O D. 1.6 O E. 22%

You are experimenting with a new process for manufacturing high-energy-density batteries. Your technical staff tell you that the process should only produce 25% defectives. However, the first three batteries produced by the process all turn out to be defective. What are the odds on this happening if your technical staff are telling the truth? Select one: OA. 18.6% O B. 12.5% O C 8.3% O D. 1.6 O E. 22%

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...

See similar textbooks

Similar questions

[6] – Statistics Scenario #1A dog enthusiast wanted to see if there was a difference in pit-bull ownership between people in Arcata and Eureka. They obtained a list of registered dog owners from the city of Eureka and the city of Arcata, then they randomly selected people from each list until they had 150 responses from Arcata and 150 responses from eureka. The total number of people from Arcata who reported having a pit-bull was 33. The total number from Eureka was 40 (c) Was the researchers sampling method biased, if so, what kind of bias?(d) Is the data qualitative, quantitative continuous, or quantitative discrete? e) What statistical test should be performed to test the hypothesis?
Think about the headline “Twelve people every year in the U.S. are killed by bee stings.” Assuming there are approximately 313.9 million people in the United States, what other ways could this headline be written? There may be more than one answer. The chances of being killed by bees in the U.S. are 12%. Bees claim one life every month in the United States alone. Someone you know may be stung by a bee. One in 26 million will die this year in the U.S. by bee sting
A man buys a racehorse for $25,000 and enters it in two races. He plans to sell the horse afterward, hoping to make a profit. If the horse wins both races, its value will jump to $105,000. If it wins one of the races, it will be worth $65,000. If it loses both races, it will be worth only $10,000. The man believes there is a 30% chance that the horse will win the first race and a 35% chance that it will win the second one. Assuming that the two races are independent events, find the man's expected profit.
About 8 % if the U.S. population catches the flu each season. Assuming everyone has equal probably of catching the flu, about what are the odds of catching the flu in a given season?
You are a researcher who wants to know what the mean (µ) level of anxiety would be for the whole population if they were all receiving a new anti-anxiety therapy. You can’t give the therapy to the whole population, so you give it to a sample, and you get M = 32.1 as the average anxiety level for the sample on the therapy. What is the reason that you can’t just simply assume that µ = 32.1? You didn’t use random assignment Sampling error Descriptive statistics Inferential statistics
In a certain year, it was estimated that 1,000,000 of the 307,000,000 residents of the United States are HIV-positive. (HIV is the virus that is believed to cause AIDS.) The Repeatedly Reactive Immunoassay (RRIA) diagnostic test correctly diagnoses the presence of AIDS/HIV 99.7% of the time and correctly diagnoses its absence 98.5% of the time. (Round your answers to four decimal places.) (a) Find the probability that a person whose test results are positive actually has HIV.(b) Find the probability that a person whose test results are negative does not have HIV.(c) Find the probability that a person whose test results are positive does not have HIV.(d) Find the probability that a person whose test results are negative actually has HIV.(e) Which of the probabilities would you be interested in if you or someone close to you tested positive? the probability that a person whose test results are positive actually has HIVthe probability that a person whose test results are negative does not…
A Biology 20 class wanted to investigate the endurance of fellow students related to the activity of muscle cells. A muscle is said to be fatigued when it is unable to maintain a certain level of performance. The students designed an experiment that used the number of repetitions of a muscle group to indicate the level of performance. Procedure: Each individual used the apparatus diagrammed above to perform three trials. First a 250 gram load was used, then 500 grams, and lastly a 1000 gram load was used. A 1 litre soft drink bottle was filled with the appropriate mass of water. (1 mL of water = 1 gram). The subject was instructed to raise and lower each mass rapidly -- about twice a second. The trial was considered finished if the subject could not raise the weight 3 cm or was unable to maintain a rate of 2 lifts per second. Between trials the subject had a 1 minute rest. During this time the arm of the subject could be massaged. I Questions: (a) What problem were the Biology 20 class…
snip
You are interested in enhancing the performance of runners in a 10-kilometer event. You randomly select 40 runners and randomly assign them to one of two diet groups. During the 24 hours prior to the 10K run you feed the experimental group a special diet of 80% of their calories from carbohydrates and ad lib water intake. During the 24 hours prior to the event you tell the control group to eat what they normally would eat and drink prior to a 10-K race. Prior to running the event you measure the glycogen content of the quadriceps muscle in mg/kilogram of wet muscle of each subject. You also measure the individual’s time to run the 10K event. Thus, the purpose of your study is to determine the effect of a high carbohydrate diet on glycogen content of the muscle and 10k performance. A secondary purpose is to examine the relationships between glycogen content of the quadriceps and 10K performance. For each statistical hypothesis set indicate the type of question (Descriptive,…