ABCD | E | F G H 32 128 128
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Consider an alphabet of 8 symbols whose
What is the entropy of the above symbol set?
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- The access code for a garage door consists of three digits. Each digit can be any number from 1 through 7, and each digit can be repeated. Complete parts (a) through (c). (a) Find the number of possible access codes. (b) What is the probability of randomly selecting the correct access code on the first try? (c) What is the probability of not selecting the correct access code on the first try?2 coins are tossed together. Then the probability of getting exactly 2 tails using a tree diagram is 0.2500 0.0400 O 0.1600 O 0.0100 0.0900Find the probability that a randomly chosen student a) studies music b) studies music or is female c) is male, given that they do not study Spanish
- A data from a college shows that a certain exam has 10% passing rate. If 4 students take this exam, Find: a) probability that all of them pass it b) probability that no one pass it c) probability that at least one of them failsA safe has a five-digit code. a) How many different codes are possible?b) How many different codes are possible if the digits can’t be repeated?c) Suppose you know that the code consists of the digits 0, 2, 5, 8, and 9, but you cannotremember in which order they go. What is the probability that you guess the correct code onthe first try?A store purchases baseball hats from two different manufacturers in 3 different colors, summarized below. One hat is chosen at random. Give your answer as a decimal out to at least 4 places. Black Blue Red Total Manufacturer A 18 14 23 55 Manufacturer B 20 11 28 59 Total 38 25 51 114 a) Find the probability that the hat was was Red or was from Manufacturer A. b) Find P(Red). c) Find P(Manufacturer B and Red). d) Find P(Manufacturer B or Red).
- 2.3 4) Consider each situation. Decide whether the pairs of events are mutually exclusive or not. a) Roll a die: Get an even number and get a number less than 3. b) Roll a die: Get a prime number (2, 3, or 5) and get a six. c) Roll a die: Get a number greater than 3 and get a number less than 3. d) Select a student: Get a student with blue eyes and get a student with blond hair. e) Select a college student: Get a sophomore and get a student that is a math major. f) Select a course: Get an Algebra course and get an English course. g) Select a voter: Get a Republican and get a Democrat. INTL DII %23 3. 4 5 6. e yA password has to use the following format: LDDDDLLL, where L can be any of the upper case letters in the alphabet, and D can be any digit including 0. None of the digits or letters can repeat. a. What is the probability that a random password uses only vowels (A,E,I,O,U) and odd numbers (1,3,5,7,9)? Show work but do not evaluate. b. What is the probability that the password spells the word "MATH?" Show work but do not evaluate.In a certain lottery, an urn contains balls numbered 1 to 25. From this urn, 4 balls are chosen randomly, without replacement. For a $1 bet, a player chooses one set of four numbers. To win, all four numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one ticket? The probability of winning is (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.)
