Applications | RapidIdentity x | MTH 245 Lesson 11 Notes-1.pdf: x Quizzes 2 * *Course Hero + X C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2Flti%2Flaunch%3Fmodule_session%... [ * [ @ G Return Submit Lesson 11 Homework Overview This is the homework assignment for Lesson 11. It should be completed after you read the lesson notes and view any applicable videos. 34 Objectives 11. Determine probabilities of composite events using the complement rule, the addition rule, and the multiplication rule. Instructions 4 The following homework set requires the use of a calculator. StatCrunch is not required. Enter all answers as decimals rounded to three decimal places. Do not type fractions or percentages. 5 Questions? If you have questions about this homework assignment, please post them in the Week 4 Discussion Board. 1 1 point An experiment consists of drawing three cards from a deck, replacing a card each time before picking the next card. What is the probability that all three cards are spades? (For more information on playing cards, click here.) P(1st card is a spade AND 2nd is a spade AND 3rd is a spade) = type your answer... 2 1 point Suppose the experiment from Exercise 1 is modified so that the cards are not replaced between draws. What is the probability that all three cards are spades? P(1st card is a spade AND 2nd is a spade AND 3rd is a spade) = type your answer... Type here to search O 66 F Clear ~ 9 0 7 4x 9:47 PM 9/15/2022Applications | RapidIdentity x | MTH 245 Lesson 11 Notes-1.pdf: x Quizzes 2 * *Dashboard + X C A learn.vccs.edu/courses/500264/external_tools/retrieve?display=full_width&url=https%3A%2F%2Fvccs.quiz-Iti-iad-prod.instructure.com%2FIti%2Flaunch%3Fmodule_session%... [ * @ G Return Submit P(1st card is a spade AND 2nd is a spade AND 3rd is a spade) = type your answer.. 3 1 point Hospitals typically require backup generators to provide electricity in the event of a power outage. Assume that emergency backup generators fail 39% of the times when they are needed. A hospital has two backup generators so that power is available if one of them fails during a power outage. Assuming both generators operate independently, what is the probability that both generators fail during a power outage? 1 P(both generators fail) = type your answer.. 2 4 4 1 point A Among 7633 cases of heart pacemaker malfunctions, 311 were found to be caused by firmware, which is software permanently programmed into the device's memory. Suppose the 5 manufacturer plans to test the firmware in 3 different pacemakers that are randomly selected from this batch of 7633, and will accept the entire batch if none of the 3 fail the test. What is the probability that the firmware in the entire batch will be accepted? (Hint: Use the Five Percent Condition.) Do not round intermediate calculations; only round your final answer. P(entire batch is accepted) = type your answer. 5 1 point In a study of helicopter usage and patient survival, among the 46,064 patients transported by helicopter, 167 of them left the treatment center against medical advice, and the other 45,897 did not leave against medical advice. If 50 of the subjects transported by helicopter are randomly selected without replacement, what is the probability that none of them left the treatment center against medical advice? (Hint: Use the Five Percent Condition.) Do not round intermediate calculations; only round your final answer. P(none left against medical advice) = [POAMA]. P(no transported patients left the treatment center against medical advice) = type your answer.. Submit Type here to search O Ei 66OF Clear ~ 9 0 7 4x 9:48 PM 9/15/2022