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Unformatted text preview: Statistics 5021 – Homework 2 There are 20 total points (1 point for each part of each question). One question will be graded for correctness. This homework is due Thursday, February 10 in your lab section. 1. Define the following terms and create your own example for each: (a) Random variable (b) Realization of a random variable 2. Let X be the number of bedrooms for an apartment we plan to randomly selected in Minneapolis. (Note that a studio apartment has 0 bedrooms). Suppose that X has the following probability mass function. x 1 2 3 p ( x ) 0.20 0.40 0.30 0.10 (a) Compute the mean/expected value of X (b) What is the probability that this randomly selected apartment has at least one bedroom? 3. A fair coin is to be flipped independently 10 times (the probability of heads on any flip is 0.5). Let X count the number of “heads” we see in these 10 flips. (a) What is the name of X ’s distribution? Specify the value(s) for its parameter(s)....
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 Spring '08
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 Statistics, probability density function, 20 seconds, 5 inches, 66 inches

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