Concept explainers
The College Board reports that 2 % of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities (Los Angeles Times, July 16, 2002). Consider a random sample of 25 students who have recently taken the test.
a. What is the
b. What is the probability that at least 1 received a special accommodation?
c. What is the probability that at least 2 received a special accommodation?
d. What is the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?
e. Suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed 4.5 hours. What would you expect the average time allowed the 25 selected students to be?
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps
- According to a government statistical organization, the unemployment rate for workers aged 22 to 25 in April 2018 was 5.7%. Consider a random sample of 90 workers from this age group. a. What is the probability that 6 or fewer will be unemployed? b. What is the probability that 3 or fewer will be unemployed? c. What is the probability that between 3 and 9 of them will be unemployed?arrow_forward3 out of 20 tires are defective and 6 of them are randomly selected. What is the probability that only one defective will be included in the section... (Round to four decimal)arrow_forwardThe top distance runners for Parker University run the mile between 3.26 minutes and 4.54 minutes. In order to get into the championship race, a runner will need to complete the mile in 3.6 minutes or less. a. What is the probability one of these top runners will get into the championship race? b. What is the probability a top runner will run the race between 3.5 and 4.05 minutes?arrow_forward
- 3. You have a box of 100 batteries, 17 of which do not work (completely drained). You choose arandom sample of three batteries without replacement.a. How many ways are there to choose the sample?b. How many samples contain no drained batteries?c. What is the probability that the sample contains no drained batteries?d. How many samples contain exactly one drained battery?e. What is the probability that the sample contains no more than one drained battery?arrow_forwardA survey of 200 college graduates who have been working for at least three years found that 85 owned only mutual funds, 35 owned only stocks, and 80 owned both. a. What is the probability that an individual owns a stock? A mutual fund? b. What is the probability that an individual owns neither any stocks nor mutual funds? c. What is the probability that an individual owns a stock, a mutual fund, or both? a. The probability that an individual owns a stock is (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer ls Check Answer parts remaining Clear All This course (SummerA-QMB3200-U03A ApplicationofQuantitativeMethodsinBusiness) is based on Evans: Business Analytics: Methods, Models, and Decisions, 3e or anything Prsc F9 F10arrow_forwardAccording to a government statistical organization, the unemployment rate for workers aged 19 to 25 in April 2018 was 7.7%. Consider a random sample of 90 workers from this age group. a. What is the probability that 6 or fewer will be unemployed? b. What is the probability that 3 or fewer will be unemployed? c. What is the probability that between 3 and 9 of them will be unemployed? a. The probability that 6 or fewer workers will be unemployed is (Type an integer or decimal rounded to four decimal places as needed.) atcrunch Get more help - ... Similar question Nextarrow_forward
- 80% of U.S. drivers over the age of 30 have had a speeding ticket and 55% of those have also been in an accident while behind the wheel. What is the probability that a randomly selected US driver over the age of 30 has had a speeding ticket and also been in an accident while behind the wheel?arrow_forwardThe class I'm taking is statistics! I am completely stuck. Need help. I have attached the problem. Please view attachment before answering. Thank you!arrow_forwardRefer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test result is a false positive? Who would suffer from a false positive result? Why? Pre-Employment Drug Screening Results Positive test result Negative test result Drug Use Is Not Indicated Drug Use Is Indicated Subject Uses Drugs 37 4. Subject Is Not a Drug User 17 35 The probability of a false positive test result isarrow_forward
- An auditor for Health Maintenance Services of Georgia reports 40 percent of policyholders 55 years or older submit a claim during the year. Twenty policyholders are randomly selected for company records. (Binomial Dist.) a. How many of the policyholders would you expect to have filed a claim within the last year? ie. The mean value. b. What is the probability that 10 of the selected policyholders submitted a claim last year? c. What is the probability that 10 or more of the selected policyholders submitted a claim last year?arrow_forwardIn a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken. a. What is the probability that exactly eight are retired people? b. What is the probability that 10 or more are retired people? c. How many retired people would you expect to find in a random sample of 25 stock investors? d. Suppose a random sample of 20 U.S. adults is taken. What is the probability that exactly eight adults invested in mutual funds? e. Suppose a random sample of 20 U.S. adults is taken. What is the probability that fewer than five adults invested in mutual funds? f. Suppose a random sample of 20 U.S. adults is taken. What is the probability that exactly one adult invested in mutual funds? g. Suppose a random sample of 20 U.S. adults is taken. What is the probability that 11 or more adults invested in mutual…arrow_forwardThe use of drones, aircraft without onboard human pilots, is becoming more prevalent. According to a 2017 report, 58% of people in a certain region had seen a drone in action. Suppose 55 people from this region are randomly selected. a. What is the probability that at least 28 had seen a drone? The probability that at least 28 had seen a drone is (Type an integer or a decimal. Round to three decimal places as needed.)arrow_forward
- A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON