B. A college graduate believes he has 60% chance of getting a particular job. Historically, 75% of the candidates who got a similar job had two interviews; 45% of unsuccessful candidates had two interviews. Apply Bayes' Rule to calculate the Page 3 of 10 probability that this candidate will be hired, assuming he had two interviews.
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- According to a recent article on the website www.fivethirtyeight.com, 30% of Americanssay they’re trying to reduce or eliminate gluten in their diets. Suppose you have 50volunteers and are interested in the number of them that are trying to reduce oreliminate gluten in their diets.a.) Find the probability that exactly 20 of the volunteers are trying to reduce oreliminate gluten in their diets. Use the formula.b.) Find the probability that 15 or fewer of the volunteers are trying to reduce oreliminate gluten in their diets. Use the calculator.c.) Find the probability that at least 27 of the volunteers are trying to reduce oreliminate gluten in their diets. Use the calculator.15%0f cellphone users use their cell phones to access internet. In arandom sample of 10 cellphone users, what is probability that exactly 2 have used their phones to access internet?On average, 21 out of every 100 emails exchanged are spam emails. Filters on email services attempt to flag spam emails as they are received. One such filter has a 73% chance of flagging an email if it is actually spam and a 27% chance of flagging an email that is not spam. a. What is the probability that an incoming email is spam and flagged? b. What is the probability that the next incoming email will be flagged? c. All emails that are not flagged are sent to the user’s inbox. If an email reaches a user’s inbox, what is the probability that it is a spam email?
- A recent survey shows that 16% of college students have dogs and 38% have an HBO subscription. Assuming these two events are independent, what is the probability that a randomly selected college student has neither a dog nor HBO?On most social media platforms, 64% of all ads are targeted ads. Ad-blockers attempt to block such targeted ads before they are delivered to the user. One such ad-blocker has a 42% chance of blocking an ad if it is actually targeted, and a 19% chance of blocking an ad that is not targeted. a. If an ad is blocked by the ad-blocker, what is the probability that it was not a targeted ad? b. If the user is served an ad which was not blocked, what is the probability that it was targeted?In a survey of consumers aged 12 and older, respondents were asked how many cell phones were in use by the household. (No two respondents were from the same household.) Among the respondents, 211answered "none,"289 said "one," 373 said "two," 143 said "three," and 138 responded with four or more. A survey respondent is selected at random. Find the probability that his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in use? Consider an event to be unlikely if its probability is less than or equal to 0.05.
- A study is conducted to assess the impact of caffeine consumption, smoking, alcohol consumption, and physical activity on cardiovascular disease. Suppose that 40% of participants consume caffeine and smoke. If eight participants are evaluated, what is the probability that: At most, six participants consume caffeine and smoke?According to recent passport data, the percentage of people in a particular country who have a passport has risen dramatically. In 2007, only 30% of the country's citizens had a passport; in 2017 that percentage had risen to 45%. Assume that currently 45% of the citizens have a passport. Suppose 45 citizens of the country are selected at random. ... a. Find the probability that fewer than 18 have a passport. The probability that fewer than 18 have a passport is (Type an integer or decimal. Round to three decimal places as needed.)A cell phone company collects the following data for a month on their customers:The company plans to build a cell phone tower at any one of the areas. It is based on the probability of a customer available in a particular area in the month.Which area will they choose to build the tower?
- The management of the large department store in Example B.1 must determine whether more training is neededfor the customer service clerk. The clerk at the customer service desk can serve an average of three customersper hour. What is the probability that a customer will require 10 minutes or less of service?22% of household are turned to the television show NBC Sunday Night Football. An advertiser wants to obtain a second opinion by conducting its own survey, and a pilot survey begins with 30 households having TV sets in use at the time of that same NBC Sunday Night Football broadcast. Find the probability that none of the household are tuned to NBC Sunday Night Football.Find the probability that less than two household are turned to NBC Sunday Night Football. Find the probability that at least three households are tuned to NBC Sunday Night Football.Find the probability that more than 20 households are tuned to NBC Sunday Night Football.Find the probability that no more than 4 households are turned to NBC Sunday Night Football.A car manufacturer produces both sedan and SUV vehicles. The probability that a customer will purchase a sedan vehicle is 0.75. Of those that purchase sedan vehicle, 60% also purchase extended warranty. But only 30% of SUV vehicle buyers purchase extended warranty. A randomly selected buyer purchases extended warranty and a vehicle. What is the probability that the purchased vehicle is sedan?