Problem #5 - Smoking Researchers asked 5,375 high school students about their own smoking and that of their parents. The data are summarized in the two-way table below: Student Smoking Student Does Not Smoke Student Smokes Parents' Smoking Parents Do Not Smoke 1168 188 Parents Smoke 3203 816 What is the probability that when randomly selecting from all students in the sample you choose a student who does not smoke? A. B. If you are randomly selecting from the students whose parents do not smoke, what is the probability you choose a student who does not smoke? C. If you are randomly selecting from the students who do not smoke, what is the probability you choose a student whose parents do not smoke? D. Based on your previous answers, are the events "Student Does Not Smoke" and "Parent Do Not Smoke" statistically independent for this data? EXPLAIN.

A recent study has shown that approximately 31.6% of Canadians are considered 'supertasters,' or people who experience the sense of taste with greater intensity than average. Consider a sample of 23 Canadians, each of whom are asked to indicate if they are a supertaster or not. Please use this information to answer the following questions.a. Suppose you know that at least 7 of the Canadians sampled are supertasters. What is the probability that exactly 15 of the Canadians sampled are supertasters?Answer:______________Round to at least FOUR digits after the decimal if necessary. b. What is the probability that the 10th Canadian sampled is the sixth person to indicate that they are a supertaster?Answer:______________Do NOT round your answer; give all the decimals.

Question 1 In a survey of top executives, it was found that 54% had either traveled internationally on business or could fluently speak a foreign language. The probability that an executive who had not traveled internationally could speak a foreign language was 20%. It was found that only 2% of the executives had traveled internationally and could speak a foreign language. Imagine we randomly pick a top executive who answered the survey. a.What is the probability that the executive has not traveled internationally and does not speak a foreign language fluently? b.What is the probability that the executive does not speak a foreign language fluently? c.What is the probaility that an executive has not traveled internationally? d. If we had a random sample of 10 top executives (who responded to the survey), what would be the probability that two had traveled internationally? -.

This is a Statistics problem. Please explain each step thoroughly.  The problem I'm having issues with is shown below: In an experiment where you toss a fair coin twice, define events: AA : the first toss is heads. BB : the second toss is heads. CC : both tosses are the same. Show that AA and BB are independent. Show that AA and CC are independent. Show that BB and CC are independent. Finally, show that AA, BB, and CC are not mutually independent.