Question: 8. Each time a calculus class meets, the professor selects one student at random from the classroom to explain the solution to a homework problem.

8. Each time a calculus class meets, the professor selects one student at random from the classroom to explain the solution to a homework problem. Ariel is a student in this class, and she does not like to be selected to answer questions. If there are 90 students in the classroom, and we assume none of the students is absent, what is the probability Ariel will be chosen to explain the homework problem solution?

  1. 0.011
  2. 0.111
  3. 0.090
  4. 0.900
  5. This cannot be answered without knowing exactly where Ariel is sitting in the
  6. classroom.

Number of cars owned

0

1

2

3

4

5

6 or more

Probability

0.39

0.33

0.36

0.14

0.05

0.02

0.01

2

9.

Felicia plans to toss a fair coin 5000 times in the hopes that it will help her develop a deeper understanding of the laws of probability. Which of the following statements is true?

A. The number of tails Felicia observes should be exactly equal to 2500.

B. The proportion of tails should be close to 0.75.

C.If the coin is fair, Felicia should never observe more than five of the same outcomes

in a row (i.e., a long string of tails or a long string of heads). D. All of the above statements are true.

E. None of the above statements are true.

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