Most binomial probability calculations required in these exercises can be done by using Table C or the Normal approximation. Your instructor may request that you use the binomial probability formula or software. In exercises requiring the Normal approximation, you should use the continuity correction if you studied that topic.

Question 5.29

5.29 Random digits.

Each entry in a table of random digits like Table B has probability 0.1 of being a 0, and digits are independent of each other.

  1. Suppose you want to determine the probability of getting at least one 0 in a group of five digits. Explain what is wrong with the logic of computing it as
  2. Find the probability that a group of five digits from the table will contain at least one 0.
  3. In Table B, there are 40 digits on any given line. What is the mean number of 0s in lines 40 digits long?

266

5.29

(a) Answers will vary—the events are not disjoint, etc. (b) 0.4095. (c) .