Normal distribution or bell curves is used widely in natural and social sciences. It's required to...

 

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Normal distribution or bell curves is used widely in natural and social sciences. It's required to develop a program in C that performs the following operations: Normal distribution 1- Accept number of samples (n), then accepts samples of a random variable X in sequence and save them in an array. 2- Compute the mean of X. y-1. μ = ²1=0 x1 71 3- Compute the variance of X PR-1 Στο (μ - x.) i=0 0² n-1 4- Compute the standard deviation of X: o = √variance The requirements: 1- The program starts by showing a menu and asks the user to select an option. 1. Input samples 2. Compute the mean 3. Compute the variance 4. Compute the standard deviation 5. Exit 2- The program accepts the option from the user then perform the suitable operation as shown above. 3- Create the necessary validations to make sure your program works properly. 4- Test your program by run the following examples: Example (1) Example (2) n 10 20 X 10, 15, 18, 15, 10, 7, 16, 18, 13, 20 25, 26, 26, 28, 29, 29, 29, 30, 29, 30, 32, 29, 29, 28, 28, 29, 28, 26, 27, 28 μ 13.2 G² 20.96 6 4.8258 Deliverables: 1- Reports shows the test examples results from your program. 2- The source code of the program in C. Deadline will be Tuesday and Wednesday 12,13 January 2021, the discussion and delivery will be with lab instructors. Hints: - math.h contains these functions; you may need them. O double sqrt(double x): Returns the square root of x. O double pow(double x, double y): Returns x raised to the power of y. Normal distribution or bell curves is used widely in natural and social sciences. It's required to develop a program in C that performs the following operations: Normal distribution 1- Accept number of samples (n), then accepts samples of a random variable X in sequence and save them in an array. 2- Compute the mean of X. y-1. μ = ²1=0 x1 71 3- Compute the variance of X PR-1 Στο (μ - x.) i=0 0² n-1 4- Compute the standard deviation of X: o = √variance The requirements: 1- The program starts by showing a menu and asks the user to select an option. 1. Input samples 2. Compute the mean 3. Compute the variance 4. Compute the standard deviation 5. Exit 2- The program accepts the option from the user then perform the suitable operation as shown above. 3- Create the necessary validations to make sure your program works properly. 4- Test your program by run the following examples: Example (1) Example (2) n 10 20 X 10, 15, 18, 15, 10, 7, 16, 18, 13, 20 25, 26, 26, 28, 29, 29, 29, 30, 29, 30, 32, 29, 29, 28, 28, 29, 28, 26, 27, 28 μ 13.2 G² 20.96 6 4.8258 Deliverables: 1- Reports shows the test examples results from your program. 2- The source code of the program in C. Deadline will be Tuesday and Wednesday 12,13 January 2021, the discussion and delivery will be with lab instructors. Hints: - math.h contains these functions; you may need them. O double sqrt(double x): Returns the square root of x. O double pow(double x, double y): Returns x raised to the power of y.

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