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. how many students in the survey said that math was their favorite subject? 42 81 120 123\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 |

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. how many students in the survey said that math was their favorite subject? 42 81 120 123\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 |

Answer

Explanation:

Step1: Calculate number of male students who like math

Multiply number of male students by their conditional - relative frequency of liking math. There are 120 male students and the conditional - relative frequency of male students liking math is 0.35. So, the number of male students who like math is $120\times0.35 = 42$.

Step2: Calculate number of female students who like math

Multiply number of female students by their conditional - relative frequency of liking math. There are 180 female students and the conditional - relative frequency of female students liking math is 0.45. So, the 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