Compute the conditional probability
Suppose we roll three fair six-sided dice. Compute the conditional probability that the first die shows 4, given that the sum of the three numbers showing is 12.
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A person leaves for work between 8 am and 8.30 am and takes between 40 and 50 minutes to get there. Let the random variable X denote her time of departure and the random variable Y the travel time.
Calculate the number (n) of moles of HCl in the solution dispensed. Give S and Sm for the initial and final volumes, and give a limit of error (95 percent confidence) for n.
Calculate the density and its 95 percent confidence limit of error, and present it and its limit of error in proper form with the correct number of significant figures and proper units.
Suppose Alice flips three fair coins, and let X be the number of heads showing. Suppose Barbara flips five fair coins, and let Y be the number of heads showing. Let Z =X -Y . Compute P(Z= z) for every real number z.
A dreidel is a four-sided top that contains a Hebrew letter on each side: nun, gimmel, heh, shin. Here we suppose that a fair dreidel is to be spun ten times. Compute the probability of each of the following events:
Suppose that births are equally likely to be on any day. What is the probability that somebody chosen at random has a ba birthday on the first day of a month? How does this probability change conditional on the knowledge that the person's birthda
The standard deviation for using a certain radar detector is .68 mph for vehicle speeds around 45 mph. If you were traveling 42 mph in a 30 mph zone and if a police officer used his speed detector, what is the probability that you will be clocked
If A is a subset of B and B' isn't equal to 0, is P(A) larger or smaller than P(A|B)? Provide some intuitive reasoning for your answer.
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