Determine whether the probability experiment represents a

Chapter 6, Problem 5RE

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QUESTION:

Problem 5RE

Determine whether the probability experiment represents a binomial experiment. If not, explain why.

(a) According to the Chronicle of Higher Education, there is a 54% probability that a randomly selected incoming freshman will graduate from college within 6 years. Suppose that 10 incoming freshmen are randomly selected. After 6 years, each student is asked whether he or she graduated.

(b) An experiment is conducted in which a single die is cast until a 3 comes up. The number of throws required is recorded

Questions & Answers

QUESTION:

Problem 5RE

Determine whether the probability experiment represents a binomial experiment. If not, explain why.

(a) According to the Chronicle of Higher Education, there is a 54% probability that a randomly selected incoming freshman will graduate from college within 6 years. Suppose that 10 incoming freshmen are randomly selected. After 6 years, each student is asked whether he or she graduated.

(b) An experiment is conducted in which a single die is cast until a 3 comes up. The number of throws required is recorded

ANSWER:

Solution:

Step 1 of 2:

We have to determine whether the probability experiments represents a binomial experiment.

  1. There is a 54% probability that a randomly selected incoming freshman will graduate from college within 6 years. Here 10 incoming freshmen are randomly selected, after 6 years each student is asked whether he or she graduated.
  2. An experiment is conducted in which a single die is cast until a 3 comes up. The number of throws required is recorded.

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