Please code in R. **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?

Answered: Image /qna-images/answer/e2489ec3-b7d1-4e81-873d-81fbbf81fc7d.jpg

Answered: 3.39 In the game of Scrabble, players…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 11DE

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Similar questions

In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five numbers match the five numbers drawn (in any order), the player wins (or shares) the top prize. What is the probability of winning the top prize when the player buys one ticket?
Roulette American roulette is a game in which a wheel turns on a spindle and is divided into 38 pockets. Thirty-six of the pockets are numbered 1-36, of which half are red and half are black. Two of the pockets are green and are numbered 0 and 00 (see figure). The dealer spins the wheel and a small ball in opposite directions. As the ball slows to a stop, it has an equal probability of landing in any of the numbered pockets. (a) Find the probability of landing in the number 00 pocket. (b) Find the probability of landing in a red pocket. (c) Find the probability of landing in a green pocket or a black pocket. (d) Find the probability of landing in the number 14 pocket on two consecutive spins. (e) Find the probability of landing in a red pocket on three consecutive spins.
a What is meant by the conditional probability of E given F? How is this probability calculated? b What are independent events? c If E and F are independent events, what is the probability of E and F occurring? What if E and F are not independent? d A jar contains 3 white and 7 black balls. Let E be the event the first ball drawn is black and let F be the event the second ball drawn is black. i Find P(EF) if the balls are drawn with replacement. ii Find P(EF) if the balls are drawn without replacement.

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