Can you help me with this problem? ### High School Standardized Test Results: Gender and Pass/Fail Breakdown#### OverviewA group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth.#### Test Results by Gender| | Passed | Failed ||------------|--------|--------|| **Male** | 46 | 25 || **Female** | 13 | 20 |#### Probability CalculationTo determine if the events "being female" and "passing the test" are independent, calculate and compare the probabilities. The sentence below helps to determine the independence of these events:```Since P(female) × P(pass) = ____ and P(female and pass) = ____, the two results are (equal/not equal), so the events are (independent/dependent).```1. **Calculate \(P(female)\):** Total students = 46 (Male, Passed) + 25 (Male, Failed) + 13 (Female, Passed) + 20 (Female, Failed) = 104. \( P(female) = \frac{13 + 20}{104} = \frac{33}{104} \approx 0.317 \) (to the nearest thousandth).2. **Calculate \(P(pass):** Total passed = 46 (Male) + 13 (Female) = 59. \( P(pass) = \frac{59}{104} \approx 0.567 \) (to the nearest thousandth).3. **Calculate \(P(female) × P(pass):** \( P(female) \times P(pass) = 0.317 \times 0.567 \approx 0.180 \) (to the nearest thousandth).4. **Calculate \(P(female and pass)\):** Passed females = 13. \( P(female \, \text{and} \, pass) = \frac{13}{104} \approx 0.125 \) (to the nearest thousandth).5. **Determine Independence (Fill in the Blanks):** - Since \( P(female) \times P(pass) = 0.180 \) and

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A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth. Passed Failed Male 46 25 Female 13 20 Since P(female) xP(pass) = P(female and pass) = results are are Submit Answer ㅁ and the two so the events attempt 1 out of 2

A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken down by gender in the following table. Determine whether gender and passing the test are independent by filling out the blanks in the sentence below, rounding all probabilities to the nearest thousandth. Passed Failed Male 46 25 Female 13 20 Since P(female) xP(pass) = P(female and pass) = results are are Submit Answer ㅁ and the two so the events attempt 1 out of 2

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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