in a class of students, the following data table summarizes how many students passed a test and completed…

in a class of students, the following data table summarizes how many students passed a test and completed the homework due the day of the test. what is the probability that a student who completed the homework passed the test?\n| | passed the test | failed the test |\n|--|--|--|\n| completed the homework | 11 | 4 |\n| did not complete the homework | 2 | 5 |

in a class of students, the following data table summarizes how many students passed a test and completed the homework due the day of the test. what is the probability that a student who completed the homework passed the test?\n| | passed the test | failed the test |\n|--|--|--|\n| completed the homework | 11 | 4 |\n| did not complete the homework | 2 | 5 |

Answer

Explanation:

Step1: Find number of students who completed homework

The number of students who completed homework is the sum of those who completed and passed and those who completed and failed. So, $11 + 4=15$.

Step2: Find number of students who completed homework and passed

The number of students who completed homework and passed is 11.

Step3: Calculate the probability

The probability $P$ that a student who completed the homework passed the test is the number of students who completed and passed divided by the number of students who completed homework. So, $P=\frac{11}{15}$.

Answer:

$\frac{11}{15}$