Radio stations in a certain country use a sequence of 5 or 6 letters as their...

Transcribed Image Text:

Radio stations in a certain country use a sequence of 5 or 6 letters as their station identification call letters. The first letter must be W, N, C, Q, or R. Assume there are no restrictions on the remaining letters, and repetition is allowed. a) How many 5-letter station identifications are possible? b) How many 6-letter station identifications are possible? c) How many total station identifications are possible? d) The identification for a randomly-chosen radio station is 5 letters in length. What is the probability that all five letters are different? a) Set up the expression that would be used to calculate the number of possible 5-letter station identifications. The expression is 0 (Do not simplify.) There are possible 5-letter station identifications. (Simplify your answer.) b) There are possible 6-letter station identifications. (Simplify your answer.) c) The total number of possible station identifications is (Simplify your answer.) d) If the identification for a randomly-chosen radio station is 5 letters in length, then the probability that all five letters are different is (Round to three decimal places as needed.) Radio stations in a certain country use a sequence of 5 or 6 letters as their station identification call letters. The first letter must be W, N, C, Q, or R. Assume there are no restrictions on the remaining letters, and repetition is allowed. a) How many 5-letter station identifications are possible? b) How many 6-letter station identifications are possible? c) How many total station identifications are possible? d) The identification for a randomly-chosen radio station is 5 letters in length. What is the probability that all five letters are different? a) Set up the expression that would be used to calculate the number of possible 5-letter station identifications. The expression is 0 (Do not simplify.) There are possible 5-letter station identifications. (Simplify your answer.) b) There are possible 6-letter station identifications. (Simplify your answer.) c) The total number of possible station identifications is (Simplify your answer.) d) If the identification for a randomly-chosen radio station is 5 letters in length, then the probability that all five letters are different is (Round to three decimal places as needed.)