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MATH 1280-01 Introduction to Statistics - AY2025-T5
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If the Poisson distribution models the number of customers arriving at a store, what is the relationship between the mean and variance?
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In a population of 100 items, 40 are defective, and a sample of 10 items is drawn. What is the probability of selecting exactly 3 defective items from the sample using the hypergeometric distribution?
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The variance of a geometric distribution is given by σ^2=(1-p)/p^2. If p=0.5, what is the variance?
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In a city, 70% of households have internet access. If 8 households are surveyed, what is the probability that exactly 6 have internet access?
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If the probability of success is 0.6 in a binomial distribution, the probability of failure is:
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For a fair die roll, the expected value of the outcome is:
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The lifetime risk of developing a particular disease is about one in 67 (1.5%). Suppose we randomly sample 200 people. Let X = the number of people who will develop the disease. What is the probability distribution for X?
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A fair coin is tossed 3 times. The probability of getting at least one head is:
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A binomial experiment consists of a fixed number of _____.
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The expected value E(X) of a random variable X is also known as the __________ of X.
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