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the following probability density function.   a.  Select the probability density function.   1.     2.     3.     4.         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 0.3  (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.   0.467202 0.370629 0.966103 0.003795 0.877402 0.626396 0.816661 0.955063 0.569638 0.793645 0.641853 0.189704 0.519289 0.876775 0.016900 0.232961 0.807478 0.051656 0.469154 0.836005 0.381807 0.646180 0.038759 0.227787 0.801533 0.825934 0.600144 0.732024 0.332249 0.858704 0.807478 0.018977 0.564639 0.751811 0.100518 0.561720 0.331878 0.998821 0.071962 0.711114 0.070831 0.151657 0.637766 0.164211 0.933752 0.940995 0.873402 0.506010 0.893695 0.711803   Mean   (to 6 decimals) Standard deviation   (to 6 decimals)

the following probability density function.   a.  Select the probability density function.   1.     2.     3.     4.         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 0.3  (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.   0.467202 0.370629 0.966103 0.003795 0.877402 0.626396 0.816661 0.955063 0.569638 0.793645 0.641853 0.189704 0.519289 0.876775 0.016900 0.232961 0.807478 0.051656 0.469154 0.836005 0.381807 0.646180 0.038759 0.227787 0.801533 0.825934 0.600144 0.732024 0.332249 0.858704 0.807478 0.018977 0.564639 0.751811 0.100518 0.561720 0.331878 0.998821 0.071962 0.711114 0.070831 0.151657 0.637766 0.164211 0.933752 0.940995 0.873402 0.506010 0.893695 0.711803   Mean   (to 6 decimals) Standard deviation   (to 6 decimals)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Most computer 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  denote a random number generated using RAND, then x is a continuous random variable with the following probability density function.

 

a.  Select the probability density function.

 

1.    
2.    
3.    
4.    

 

 

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 0.3  (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.

 

0.467202 0.370629 0.966103 0.003795 0.877402
0.626396 0.816661 0.955063 0.569638 0.793645
0.641853 0.189704 0.519289 0.876775 0.016900
0.232961 0.807478 0.051656 0.469154 0.836005
0.381807 0.646180 0.038759 0.227787 0.801533
0.825934 0.600144 0.732024 0.332249 0.858704
0.807478 0.018977 0.564639 0.751811 0.100518
0.561720 0.331878 0.998821 0.071962 0.711114
0.070831 0.151657 0.637766 0.164211 0.933752
0.940995 0.873402 0.506010 0.893695 0.711803

 

Mean   (to 6 decimals)

Standard deviation   (to 6 decimals)

Most computer 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 denote a random number generated using RAND, then is a continuous random variable with the following probability density function. [1 for 0 ≤ ≤1 f(x) = { 10 elsewhere a. Select the probability density function. 1. 2. 3. 4, f(x) 1.5- 1 0.5 f(x) 1.54 1 0.5 f(x) 1.5- 14 0.5- f(x) 1.5- 1- 0.5 1 1 1 2 2 3 3 3 X X - Select your answer - V 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 0.3 (to 1 decimal place)? d. What is the probability of generating a random number with a value greater than 0.7 (to 1 decimal place)?
Transcribed Image Text:Most computer 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 denote a random number generated using RAND, then is a continuous random variable with the following probability density function. [1 for 0 ≤ ≤1 f(x) = { 10 elsewhere a. Select the probability density function. 1. 2. 3. 4, f(x) 1.5- 1 0.5 f(x) 1.54 1 0.5 f(x) 1.5- 14 0.5- f(x) 1.5- 1- 0.5 1 1 1 2 2 3 3 3 X X - Select your answer - V 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 0.3 (to 1 decimal place)? d. What is the probability of generating a random number with a value greater than 0.7 (to 1 decimal place)?
e. Using 50 random numbers given below, compute the mean and standard deviation. Mean= Standard deviation = (to 6 decimals) (to 6 decimals) 0.467202 0.626396 0.641853 0.232961 0.381807 0.825934 0.807478 0.561720 0.070831 0.940995 0.370629 0.816661 0.189704 0.807478 0.646180 0.600144 0.018977 0.331878 0.151657 0.873402 0.966103 0.955063 0.519289 0.051656 0.038759 0.732024 0.564639 0.998821 0.637766 0.506010 0.003795 0.569638 0.876775 0.469154 0.227787 0.332249 0.751811 0.071962 0.164211 0.893695 0.877402 0.793645 0.016900 0.836005 0.801533 0.858704 0.100518 0.711114 0.933752 0.711803
Transcribed Image Text:e. Using 50 random numbers given below, compute the mean and standard deviation. Mean= Standard deviation = (to 6 decimals) (to 6 decimals) 0.467202 0.626396 0.641853 0.232961 0.381807 0.825934 0.807478 0.561720 0.070831 0.940995 0.370629 0.816661 0.189704 0.807478 0.646180 0.600144 0.018977 0.331878 0.151657 0.873402 0.966103 0.955063 0.519289 0.051656 0.038759 0.732024 0.564639 0.998821 0.637766 0.506010 0.003795 0.569638 0.876775 0.469154 0.227787 0.332249 0.751811 0.071962 0.164211 0.893695 0.877402 0.793645 0.016900 0.836005 0.801533 0.858704 0.100518 0.711114 0.933752 0.711803
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