In the game of Scrabble, players make words using letter tiles, see Exercise 2.19. The tiles consist of 42 vowels and 58 non-vowels (including blanks). a. If a player draws 7 tiles (without replacement), what is the probability of getting 7 vowels? b. If a player draws 7 tiles (without replacement), what is the probability of 2 or fewer vowels? c. What is the expected number of vowels drawn when drawing 7 tiles? d. What is the standard deviation of the number of vowels drawn when drawing 7 tiles?

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3.39
In the game of Scrabble, players make words using letter tiles, see Exercise 2.19. The tiles consist of 42
vowels and 58 non-vowels (including blanks).
a. If a player draws 7 tiles (without replacement), what is the probability of getting 7 vowels?
b. If a player draws 7 tiles (without replacement), what is the probability of 2 or fewer vowels?
c. What is the expected number of vowels drawn when drawing 7 tiles?
d. What is the standard deviation of the number of vowels drawn when drawing 7 tiles?
Transcribed Image Text:3.39 In the game of Scrabble, players make words using letter tiles, see Exercise 2.19. The tiles consist of 42 vowels and 58 non-vowels (including blanks). a. If a player draws 7 tiles (without replacement), what is the probability of getting 7 vowels? b. If a player draws 7 tiles (without replacement), what is the probability of 2 or fewer vowels? c. What is the expected number of vowels drawn when drawing 7 tiles? d. What is the standard deviation of the number of vowels drawn when drawing 7 tiles?
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