Which of the following statements about a table of random digits is true?
A) Statement I: If each line contains 40 digits, there will be exactly 4 zeros in every line.
B) Statement II: The probability that there are exactly 4 zeros in a line of 40 digits is exactly 0.5.
C) Statement III: The expected number of zeros in a line of 40 digits is 4.
D) Statement IV: There can never be 4 zeros in a row because that pattern isn't random.
E) Both statements III and IV are true.

Question

Quizplus · Accepted Answer

Statement I is false because a table of random digits is just that - random. There is no guarantee that there will be exactly four zeros in every line. Statement II is also false because the probability of getting exactly four zeros in a line of 40 digits is not 0.5, but can be calculated using binomial probability. Statement III is true, however, because the expected number of zeros in a line of 40 digits can be calculated as 40 * 0.1 = 4. Statement IV is false because there can be 4 zeros in a row in a table of random digits, just as there can be any other pattern that may seem non-random.

Which of the Following Statements About a Table of Random