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)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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)

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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