Acomputer password consists of eight characters. a. how many different passwords are possible if each character may be any lowercase letter or digit? b. how many different passwords are possible if each character may be any lowercase letter or digit, and at least one character must be a digit? c. a computer system requires that passwords contain at least one digit. if eight characters are generated at random, and each is equally likely to be any of the 26 letters or 10 digits, what is the probability that a valid password will be generated?

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.