5. A ux-capacitor manufacturer offers a 1-year guarantee for most defects. They analyzed 2,250 consumer complaints and grouped them into six categories based on when the complaint was received and the reason for the complaint. They converted this cross-tabulation into the probability table shown below. When Received Reason for Cemplaint Electrical Mechanical Appearance During Guarantee Period 0.240 0.130 0.120 After Guarantee Period 0.160 0.260 0040 Note: Final answers should be written out to 3 decimals places, after rounding. For example, if your nal answer is 0.1234, then enter 0.123. If your answer is 0.1235, then enter 0.124. Accepted characters: numbers, decimal point markers, sign indicators (-), spaces (e.g., as thousands separator, 5 000), \"E" or "e" (used in scientific notation). NOTE: For scientic notation, a period MUST be used as the decimal point marker. Complex numbers should be in the form {a + bi} where \"a" and \"b" need to have explicitly stated values. For example: {1 +1i} is valid whereas {1 +i} is not. {0+9i} is valid whereas {Si} is not a. Of the 2,250 complaints, how many complaints were both an electrical complaint and received during the guarantee period? Note: Do not include any decimal places in your answer for this problem b. What is the probability that the reason for a consumer complaint was mechanical? c. What proportion of complaints occurred after the guarantee period? Note: Your answer should be a value somewhere between 0.000 and 1.000, not a percent. d. If we randomly select a complaint that was received after the guarantee period, wh at is the probability that the reason for the complaint was mechanical? 6. Determine whether the events 'receiving a complaint after the guarantee period' and 'the reason for the complaint is appearance' are independent using what you have learned in class about statistical independence. A. The two events are independent B. The two events are not independent C. The two events are mutually exclusive D. Independence cannot be determined from this