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)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 3CR
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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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