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b. What is the probability of generating a random number between 0.15 and 0.85 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.4 (to 1 decimal place)?

b. What is the probability of generating a random number between 0.15 and 0.85 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.4 (to 1 decimal place)?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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b. What is the probability of generating a random number between 0.15 and 0.85 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.4 (to 1 decimal place)? d. What is the probability of generating a random number with a value greater than 0.6 (to 1 decimal place)? e. Using 50 random numbers given below, compute the mean and standard deviation. 0.306643 0.893084 0.861299 0.965487 0.857138 0.603781 0.843387 0.547561 0.926522 0.692366 0.381222 0.554234 0.268052 0.556900 0.380344 0.409240 0.025240 0.607492 0.011658 0.251873 0.599704 0.870326 0.972346 0.970258 0.263612 0.203028 0.133226 0.664735 0.962233 0.237265 0.678002 0.479029 0.056895 0.351045 0.727631 0.628160 0.460707 0.810559 0.220111 0.492304 0.741538 0.721879 0.515700 0.847770 0.279089 0.583567 0.792947 0.663340 0.495646 0.042956 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)
Transcribed Image Text:b. What is the probability of generating a random number between 0.15 and 0.85 (to 1 decimal place)? c. What is the probability of generating a random number with a value less than or equal to 0.4 (to 1 decimal place)? d. What is the probability of generating a random number with a value greater than 0.6 (to 1 decimal place)? e. Using 50 random numbers given below, compute the mean and standard deviation. 0.306643 0.893084 0.861299 0.965487 0.857138 0.603781 0.843387 0.547561 0.926522 0.692366 0.381222 0.554234 0.268052 0.556900 0.380344 0.409240 0.025240 0.607492 0.011658 0.251873 0.599704 0.870326 0.972346 0.970258 0.263612 0.203028 0.133226 0.664735 0.962233 0.237265 0.678002 0.479029 0.056895 0.351045 0.727631 0.628160 0.460707 0.810559 0.220111 0.492304 0.741538 0.721879 0.515700 0.847770 0.279089 0.583567 0.792947 0.663340 0.495646 0.042956 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)
Most cohiputer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let a denote a random number generated using RAND, then a is a continuous random variable with the following probability density function. 1 for 0<a<1 0 e lsewhere f(x) = a. Select the probability density function. 1. f(x) 1.5- 0.5 2. f(x) I
Transcribed Image Text:Most cohiputer languages include a function that can be used to generate random numbers. In Excel, the RAND function can be used to generate random numbers between 0 and 1. If we let a denote a random number generated using RAND, then a is a continuous random variable with the following probability density function. 1 for 0<a<1 0 e lsewhere f(x) = a. Select the probability density function. 1. f(x) 1.5- 0.5 2. f(x) I
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