14 percent of the school age population attends private schools and 1% of those get​ executive-level positions later in their careers. This compares with0.1​%of people who attend state schools achieving​ executive-level positions. What is the probability that a randomly selected person in an​ executive-level position had attended a private​ school?

A telemarketing firm conducts surveys with a 40% historical response rate. What is the probability that in a new sample of 400 telephone calls at least 150 individuals will respond. In other words, what is the probability that the sample proportion will be at least 150/400?

A global research study found that the majority of​ today's working women would prefer a better​ work-life balance to an increased salary. One of the most important contributors to​ work-life balance identified by the survey was​ "flexibility," with 41​% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women.   b. What is the probability that in the sample between 37​% and 47​%say that having a flexible work schedule is either very important or extremely important to their career​ success?   ______(Round to four decimal places as​ needed.)

The 2010 census shows that 6% of the American population are at least 75 years of age. To test a random digit dialing device, you use the device to call randomly chosen residential telephones in your county. Of the 150 members of the households contacted, 4% are 75 years or older. Assume that your county's population is similar to the American population in age distribution. What is the probability that a random sample of 150 respondents would contain less than 4% of individuals at least 75 years of age?

Obtaining a driver's license at the earliest eligible age has been a teenage ritual that appears to be fading. A study performed by a university's transportation research institute recently found that 29% of U.S. teenagers between the ages of 17 and 19 did not possess a driver's license. A random sample of 125 17-to-19-year-old teenagers was selected. Complete parts a through d. a. What is the probability that 45 or fewer teenagers of this sample had not obtained a driver's license? The probability is. (Round to four decimal places as needed.) b. What is the probability that 50 or more teenagers of this sample had not obtained a driver's license? The probability is. (Round to four decimal places as needed.) c. What is the probability that between 35 and 40 teenagers had not obtained a driver's license? The probability is. (Round to four decimal places as needed.) d. Suppose that 27 teenagers from this sample had not obtained a driver's license. Does this result support the findings…

Recall the use of data from the National Health Survey to estimate behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U.S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. Suppose that we randomly select 100 U.S. adults who are smokers and find that 25% of this sample started smoking before the age of 16. Is this much error surprising? Find the probability that a sample proportion will be an over- or underestimate of the parameter by more than 5%.

At a bakery, a customer with a purchase amount of under $20 has a probability of 0.35 of using a credit card for the purchase, while a customer with a purchase amount of $20 or over has a probability of 0.6 of using a credit card for the purchase. Data shows that 80 % of purchases at the bakery are under $20.   Given that a customer uses a credit card for a purchase, find the probability that the purchase amount was $20 or over.   Give the probability as a decimal, and if rounding give to 4 decimal places.

A global research study found that the majority of​ today's working women would prefer a better​ work-life balance to an increased salary. One of the most important contributors to​ work-life balance identified by the survey was​ "flexibility," with 42​% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. a. What is the probability that in the sample fewer than 47​% say that having a flexible work schedule is either very important or extremely important to their career​ success? b. What is the probability that in the sample between 38​% and 47​% say that having a flexible work schedule is either very important or extremely important to their career​ success? c. What is the probability that in the sample more than 39​% say that having a flexible work schedule is either very important or extremely important to their career​ success?

In recent years research suggests that cell phone usage during social interactions leads to distractions, which undermines the benefits of social interaction. A recent report by greater good magazine reports that a survey shows that 82% of people report that the use of cell phones during a conversation decreases the quality and what they talk about. Assuming the greater good magazine report is accurate, and then a random sample of cell phone users during A recent conversation were sampled. You are interested in the probability that a specific number of the cell phones users would report that the use of cell phones during a conversation decreases the quality of what they talk about.

The report “Addiction Medicine: Closing the Gap between Science and Practice” from the National Center on Addiction and Substance Abuse at Columbia University reveals that addiction treatment is neglected by the medical system in the United States. It shows, in particular, that 15% of Americans have the disease of addiction and that 80% of them receive no form of treatment. Determine the probability that a randomly selected American has the disease of addiction and receives no form of treatment. Interpret your answer in terms of percentage.