Concept explainers
(a)
To calculate: The probability that the time it takes a randomly selected student to complete the test is more than
(b)
To calculate: The probability that the time it takes a randomly selected student to complete the test is more than
Want to see the full answer?
Check out a sample textbook solutionChapter 13 Solutions
WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term
- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.arrow_forwardAverage Traffic Spacing The headway h is the average time between vehicles. On a highway carrying an average of 500 vehicles per flour, the probability P that the headway is at least t seconds is given by P=0.87t. a. What is the limiting value of P? Explain what this means in practical terms. b. The headway h can be calculated as the quotient of the spacing f, in feet, which is the average distance between vehicles, and the average speed v, in feet per second, of traffic. Thus, the probability that spacing is at least f feet is the same as the probability that the headway is at least f/v seconds. Use function composition to find a formula for the probability Q that the spacing is at least f feet. Note: Your formula will involve both f and v. c. If the average speed is 88 feet per second 60 miles per hour, what is the probability that the spacing between two vehicles is at least 40 feet?arrow_forwardDetermine if the statement is true or false. If the statement is false, then correct it and make it true. The probability that an event occurs can be a negative number.arrow_forward
- An electronic scale at an automated filling operation stops the manufacturing line after three underweight packages are detected. Suppose that the probability of an underweight package is 0.02 and fills are independent. Determine the probability mass function of the number of fills (x) before the manufacturing line is stopped.arrow_forwardThe lifetime in hours of a certain kind of radio tube is a random variable having a probability density function given by 100 f (x) x > 100. %3D x2 Compute the probability that the lifetime will be less than 175 hours.arrow_forwardThe probability density function of the net weight in pounds of a packaged chemical herbicide is f(x) = 2.0 for 49.75 < x < 50.25 pounds. Determine the probability that a package weighs more than 50 pounds. iarrow_forward
- The probability density function of a random variable, X, is: fx(x)=(8x-x4) 0≤x≤2 Determine the first three moments of its pdf, (i) about the origin, and (ii) about its mean value.arrow_forwardDaily total solar radiation for a specified location in Florida in October has probability densityfunction given byf (y) =$ (3/32)(y − 2)(6 − y), 2 ≤ y ≤ 6,0, elsewhere,with measurements in hundreds of calories. Find the expected daily solar radiation for October.arrow_forwardLet X be a continuous random variable whose probability density function is: f(x)- 1.5x2 for -1arrow_forwardThe probability density function of the time a customer arrives at a terminal (in minutes after 8:00 A.M.) is f(x) = 0.25 e-x/4 for x > 0. Determine the probability that(a) The customer arrives by 10:00 A.M. (Round your answer to one decimal place (e.g. 98.7))(b) The customer arrives between 8:19 A.M. and 8:31 A.M. (Round your answer to four decimal places (e.g. 98.7654))(c) Determine the time (in hours A.M. as decimal) at which the probability of an earlier arrival is 0.51. (Round your answer to two decimal places (e.g. 98.76))(d) Determine the cumulative distribution function and use the cumulative distribution function to determine the probability that the customer arrives between 8:19 A.M. and 8:31 A.M. (Round your answer to four decimal places (e.g. 98.7654))(e) Determine the mean and (f) standard deviation of the number of minutes until the customer arrives. (Round your answers to one decimal place (e.g. 98.7))arrow_forwardDetermine if the following are true or false. a) A random variable is continuous. For any value a, P(X=a)~0 always. b) A standard normal curve means that the mean is 1 and standard deviation is 0. c) For the following probability density function, P(X<2)=2 f(x)/ 1 个 4 The amount of buses that pass through a bus line in 20 minutes is a d) discrete random variable. Focusarrow_forwardUsing the uniform probability density function shown to the right, find the probability that the random variable X is between 0.2 and 0.4. The probability is- (Type an integer or a decimal.)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill