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7. (6 points) The following table shows the results of a survey where people were asked which social media platform they prefer the most. m

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7. (6 points) The following table shows the results of a survey where people were asked which social media platform they prefer the most. m ---- a) What is the probability that a randomly selected person from this survey prefers Facebook or is more than 24 years old? b) What is the probability that a randomly selected person from this survey prefers Snapchat, given that they are less than 24 years old? 8. (3 points) A baseball team consists of 12 players. How many different batting orders of 9 players are possible? 9. (5 points) Find the mean (expected value) and standard deviation of the discrete random variable X in given probability distribution table. 10. (6 points) A class group project requires students to work in groups of 7. Within a certain group, suppose that the probability that any given group member does their fair share of the work is 0.64. Round all answers to four decimal places. Hint: Use a binomial distribution. a) Find the probability that exactly 5 group members do their fair share. b) Find the probability that at least 5 group members do their fair share

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