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yuradex [85]
3 years ago
14

6. A distribution consists of three components with frequencies 200, 250 and 300 having means

Computers and Technology
1 answer:
White raven [17]3 years ago
3 0

Answer:

The mean  = 16

The standard deviation = 7.19

Explanation:

N1 = 200  X1 = 25   σ1 = 3

N2= 250  X2 = 10   σ2 = 4

N3 = 300  X3= 15   σ3 = 5

The mean of a combined distribution is given by:

X = \frac{X_1N_1+X_2N_2+X_3N_3}{N_1+N_2+N_3}\\X = \frac{25*200+10*250+15*300}{200+250+300}\\X=16

The differences from the mean for each component are:

D_1 = 25-16=9\\D_2=10-16=-6\\D_3=15-16=-1

The standard deviation of a combined distribution is given by:

\sigma=\sqrt{\frac{N_1(\sigma_1^2+D_1^2)+N_2(\sigma_2^2+D_2^2)+N_3(\sigma_3^2+D_3^2)}{N_1+N_2+N_3}}\\\sigma=\sqrt{\frac{200(3^2+9^2)+250(4^2+(-6)^2)+300(5^2+(-1)^2)}{200+250+300}}\\\sigma=\sqrt{\frac{18000+13000+7800}{750} }\\\sigma=7.19

The mean  = 16

The standard deviation = 7.19

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(1) Prompt the user for a string that contains two strings separated by a comma. (1 pt) Examples of strings that can be accepted
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Answer:

Check the explanation

Explanation:

#include <stdio.h>

#include <string.h>

#include <stdlib.h>

#define MAX_LIMIT 50

int checkComma(char *input)

{

int flag = 0;

for(int i = 0; i < strlen(input); i++)

{

if(input[i] == ',')

{

flag = 1;

break;

}

}

return flag;

}

int main(void)

{

char input[MAX_LIMIT];

char *words[2];

char delim[] = ", ";

printf("\n");

do

{

printf("Enter input string: ");

fgets(input, MAX_LIMIT, stdin);

size_t ln = strlen(input) - 1;

if (*input && input[ln] == '\n')

input[ln] = '\0';

if(strcmp(input, "q") == 0)

{

printf("Thank you...Exiting\n\n");

exit(1);

}

else

{

if(checkComma(input) == 0)

{

printf("No comma in string.\n\n");

}

else

{

char *ptr = strtok(input, delim);

int count = 0;

while(ptr != NULL)

{

words[count++] = ptr;

ptr = strtok(NULL, delim);

}

printf("First word: %s\n", words[0]);

printf("Second word: %s\n\n", words[1]);

}

}

}while(strcmp(input, "q") != 0);

return 0;

}

Kindly check the attached image below for the output.

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