Topic 19 Conditional Probability & Tables Please complete the following assessment by providing the answers in the cells provided. Please refer to the tables on the right when appropriate. Employees of a Company Retirement Benefits No Retirement total Benefits Male 250 50 300 1.Among the female employees of a company, what proportion have no retirement benefits? Female 125 75 200 answer: 0.375 Total 375 125 500 Pregnancy Test Results 2.What is the probability a randomly selected employees is male given the mployee has retirement benefits? Positive Test Negative Test total answer: Pregnant Not Pregnant 0.833 80 5 85 3 11 14 Total 83 16 99 3. What is the probability of a false positive pregnancy test result given that it was a positive test result? lanswer: 0.361 Titanic Mortality Data (Passengers Only) TEE Men Women Вoys Girls total 4. Among all survivors of the titanic, what proportion were female (women and girls)? Survived 332 318 29 27 706 answer: Died 1360 104 35 18 1517 Total 1692 422 64 45 2223 5. If a passenger of the Titanic is selected randomly, find the probability the passenger did not survive given the passenger was male (men and boys). answer: 6.Find the probability a randomly selected card is a face card or a heart. answer: 0.423 7. Find the probability a randomly selected women had a positive test result or is pregnant. answer: 8. If 2 cards are selected from a standard 52 card deck, what is the probability both are aces? Assume the first card s replaced before the second selection is made. answer: 9. If 3 employees are selected, what is the probability that all of them collect retirement benefits? answer: 10. If 2 passengers are selected at random from the Titanic Mortality Data, what is the probability the first selected is a boy and the second selected is a girl? answer: