33 let event a be that there are more than three

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33.Let eventAbe that there are more than three defects and let eventBbe that there are fouror fewer defects.Which of the following statements is true?A)P(AB) = 0.18B)P(AB) = 0.07C) eventsAandBare collectively exhaustiveD) eventsAandBare mutually exclusiveANSWER:C
34.Let eventAbe that there are more than two defects and let eventBbe that there are fouror fewer defects.Which of the following statements is true?
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35.LetAbe the event that there is at least one defect and let eventBbe that there is at mostthree defects.Which of the following statements is true?
36.A gumball machine has five different colored gumballs: red, blue, white, green, andyellow.If you buy 3 gumballs, how many different combinations of colors could youbuy?
THE NEXT FOUR QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:A student has access to professor evaluations.Overall, he has enjoyed 70% of all classes he hastaken.He finds that of the courses he has enjoyed, 13% were taught by professors with poorevaluations.84% of the courses he has taken were taught by professors with good evaluations.37.What is the probability that the class was taught by a professor with poor evaluations andthat the student enjoyed the class?
38.What is the probability that the class was taught by a professor with good evaluations andthat the student enjoyed the class?B) =39.What is the probability that the student enjoyed the class given that it was taught by a
professor with good evaluations?
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EventA: Student enjoyed classEventB: Class taught by professors with good evaluationsP(B) = 0.84P(A|B) = P(AB) /P(B) = 0.609/0.84 = 0.72540.Suppose a student signed up for three courses next semester, all of which are taught byprofessors with good evaluations.What is the probability he enjoys all three?
THE NEXT NINE QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:In a recent survey about US policy in Iraq, 62 % of the respondents said that they support USpolicy in Iraq.Females comprised 53% of the sample, and of the females, 46% supported USpolicy in Iraq.A person is selected at random.41.What is the probability that the person we select is female and supports U.S. policy in Iraq?

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