the conditional relative frequency table was generated using data that compares the favorite subjects of…

the conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. the survey was given to 120 male students and 180 female students.\n| | math favorite subject | other favorite subject | total |\n|--|--|--|--|\n| male | 0.35 | 0.65 | 1.0 |\n| female | 0.45 | 0.55 | 1.0 |\n| total | 0.41 | 0.59 | 1.0 |\nhow many students in the survey said that math was their favorite subject?\n42\n81\n120\n123

the conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. the survey was given to 120 male students and 180 female students.\n| | math favorite subject | other favorite subject | total |\n|--|--|--|--|\n| male | 0.35 | 0.65 | 1.0 |\n| female | 0.45 | 0.55 | 1.0 |\n| total | 0.41 | 0.59 | 1.0 |\nhow many students in the survey said that math was their favorite subject?\n42\n81\n120\n123

Answer

Explanation:

Step1: Calculate number of male students who like math

Number of male students is 120. Proportion of male students who like math is 0.35. So number of male students who like math is $120\times0.35 = 42$.

Step2: Calculate number of female students who like math

Number of female students is 180. Proportion of female students who like math is 0.45. So number of female students who like math is $180\times0.45=81$.

Step3: Calculate total number of students who like math

Add the number of male and female students who like math. $42 + 81=123$.

Answer:

123