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The probability model for random variable A is
The conditional probability model for random variable B given A is:
(a) What is the probability model for random variables A and B? Write the joint PMF PA,B(a, b) as a table.
(b) If A = 1, what is the conditional expected value E[B|A = 1]?
(c) If B = 1, what is the conditional PMF PA|B (a|1)?
(d) If B = 1, what is the conditional variance Var[A|B = 1] of A?
(e) What is the covariance Cov[A, B] of A and B?
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Test the hypothesis that the average price is higher than $1.87. Use level of significance α = 0.05.
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Which gives an expected value of: (0.10)($100) + (0.90)($10) = $19.00. Compute the expected value for the "Reject Christ" decision and pick the "best" choice to make.
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A burglar plans his crimes so carefully that the lengths of the burglary are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given burglary runs between 51.0 and 51.5 minutes.
The superintendent of a unified school district of a small town wants to make sure that no more than 5% of the students skip more than 10 days of school in a year.
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