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MAS291 - Lý Ánh Dương

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Suppose 250 randomly selected people are surveyed to determine if they own a tablet. Of the 250 surveyed, 98 reported owning a tablet. Using a 95% confidence level, compute an upper bound estimate for the true proportion of people who own tablets. Round to three decimal places.

Let z0.05 = 1.645, z0.1 = 1.28, z0.025 = 1.96.

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You flip an unfair coin until it shows a head. Given P(a head comes up) = 0.2.

What is the expected number of times of flipping?

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Each multiple-choice question on an exam has

four choices. Suppose that there are 50 questions and the choice is selected

randomly and independently for each question. Let X denote the number of questions

answered correctly. 

Find E(X) and V(X).

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Suppose that X is a negative binomial random

variable with p = 0.2. and r = 4. Determine E(X).

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Let the random variable X have a discrete uniform distribution on the set of integers {5, 6, 7, ..., 20}.

Find the mean and variance of X.

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Consider a sequence of independent Bernoulli trials

with p = 0.2. After the sixth success occurs, what is the expected number of

trials to obtain the seventh success?

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