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  1. AP Statistics
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Probability, Random Variables, and Probability Distributions

Question 1
college-boardStatisticsAPExam Style
1 mark

Which function is used to calculate the probability of a geometric random variable Y being equal to a specific value k?

Question 2
college-boardStatisticsAPExam Style
1 mark

If it's known that after five patients were treated without reaction to a new medication, there was an approximately 10% chance that this could occur under normal conditions, what's implied about the single-trial reaction rate?

Question 3
college-boardStatisticsAPExam Style
1 mark

If a player free-throw shooter succeeds % but misses several times in a row during a game, would this imply anything about their true shot-making skill level?

Question 4
college-boardStatisticsAPExam Style
1 mark

When rolling a fair six-sided die, what is the expected number of rolls needed until getting a five for this geometric scenario?

Question 5
college-boardStatisticsAPExam Style
1 mark

If you toss a fair coin repeatedly, what is the probability that your first head appears on your second toss?

Question 6
college-boardStatisticsAPExam Style
1 mark

What is the probability that a test will require more than 10 components to be tested before detecting a defect, given that the probability of a component failure is set at 0.111?

Question 7
college-boardStatisticsAPExam Style
1 mark

What is the expected value of trials needed for a basketball player with a free throw success rate of p=15p = \frac{1}{5}p=51​ to make her first basket?

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Question 8
college-boardStatisticsAPExam Style
1 mark

When researching consumer behavior patterns, if an analyst estimates that customers make purchases on average once every eight visits to an online store, what is the probability that a purchase will occur on any given visit?

Question 9
college-boardStatisticsAPExam Style
1 mark

Which term describes an experiment where there are repeated trials with two possible outcomes and we are interested in finding out when we get our first 'success'?

Question 10
college-boardStatisticsAPExam Style
1 mark

What is the possible range of values for a geometric random variable?