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The magnitude of Kw indicates that ________.

The solubility of lead (II) chloride (PbCl2) is 1.6 x 10-2 M. What is the Ksp of PbCl2? SHOW YOUR WORK

A 50.0 mL sample of a solution of a monoprotic acid is titrated with a 0.115 M NaOH solution. The titration curve above was obtained. The concentration of the monoprotic acid is about ________ mol/L. SHOW YOUR WORK

Suppose you found two eggs from the coop today. Compute the expected number of eggs to find tomorrow. Show your work on the scratch paper.

Identify all communicating classes. For instance, for a DTMC with states {0,1,2}, if 0 and 1 communicate with each other, but neither does with 2, then the states can be classified in communicating classes as {0,1}, {2}.

Draw the state transition diagram of the DTMC on your scratch paper with state transitions and corresponding transition probabilities. Leave the Canvas answer section blank.

Compute the probability that the gambler is ruined (loses all money). Provide three digits after the decimal point. Show your work in answering on your scratch paper.

The marginal pdf of X is in the following form: [constant1]  [constant2] for the range of [lowerbound] [upperbound] and , otherwise. Fill in the blanks with appropriate numbers.

Derive the conditional distribution of Y given X = 1 and compute its value at Y = 3. That is, compute . Show the formula you derived for  on your scratch paper.

Identify all aperiodic states.