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: Identify relevant numbers

The number of students who completed homework and passed the test is 11, and the number of students who completed homework is (11 + 4=15).

Step2: Calculate probability

The probability (P) that a student who completed the homework passed the test is given by the formula (P=\frac{\text{Number of students who completed homework and passed}}{\text{Number of students who completed homework}}). So (P = \frac{11}{15}).

Answer:

(\frac{11}{15})