Questions 28 – 31. No work or explanation required unless specifically asked for
ID: 3181132 • Letter: Q
Question
Questions 28 – 31. No work or explanation required unless specifically asked for
28. In Q 24, are the variables independent?
Support your answer using appropriate numbers from your table to illustrate one of the guidelines for determining if variables are independent.
29. At a large company, 700 of the 2000 employees are male. If two employees are randomly selected, what is the probability that they are the same gender?
30. A student is taking a very short multiple-choice quiz in which each question has 4 choices - - A, B, C, D. The student hasn’t studied so he randomly selects an answer for each of the 3 questions.
What is the probability that he gets all 3 questions correct?
31. What is the probability that the student in the previous question gets at least one answer correct?
28. In Q 24, are the variables independent?
Support your answer using appropriate numbers from your table to illustrate one of the guidelines for determining if variables are independent.
29. At a large company, 700 of the 2000 employees are male. If two employees are randomly selected, what is the probability that they are the same gender?
30. A student is taking a very short multiple-choice quiz in which each question has 4 choices - - A, B, C, D. The student hasn’t studied so he randomly selects an answer for each of the 3 questions.
What is the probability that he gets all 3 questions correct?
31. What is the probability that the student in the previous question gets at least one answer correct?
Explanation / Answer
28. Please post it along with Q 24
29. P(2 males) = 700x699/(2000x1999) = 0.1224
P(2 females) = 1300x1299/(2000x1999) = 0.4224
P(2 people of same gender) = 0.1224+0.4224 = 0.5448
30. P(correct answer in a question) = 1/4 = 0.25
P(all 3 correct answers) = 0.253 = 0.0156
31. P(at least one correct answer)
= 1 - P(all 3 wrong answers)
= 1 - 0.753
= 0.5781
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.