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A pair of fair, six-sided dice are tossed independently of each other.
a) List the sample space of this experiment.
b) Define a random variable X to be the sum of the dice. Write down the probability mass function of X.
c) What is the probability that X is at most 4?
d) Given that X is at least 6, what is the probability that it is less than 10?
e) Define another random variable Y to be the maximum value of either die in the pair. Write down the probability mass function of Y.
f) Find the probability that Y is odd.
g) Find the expected value of Y. h) Find Var(-1.2Y + 4)
Content of 100 randomly chosen cigarettes was 3.1 mg. What is the probability that the sample mean would have been as high as or higher than 3.1 mg if the company's claims were true?
A life insurance policy has determined that each week an average of seven claims is filed in its Nashville branch. What is the probablity that durning the next week exactly seven claims will be filed?
a financial executive lives in ottawa but frequently must travel to toronto. she can go to toronto by car train or
in a survey 42 of the repsondents stated they talk to their pets on the answering machine or telephone. a vet believed
in many ways comparing multiple sample means is simply an extension of what we covered last week. what situations exist
Let z represent the standard normal variable and suppose a value is randomly selected. Find each of the following probabilities by:
Here are the shopping times (in minutes) for a sample of shoppers at a particular shoe store: 25, 38, 34, 41, 37 and find the standard deviation of this sample of shopping times. Round your answer to at least two decimal places.
The average monthly electric bill of a random sample of 256 residents of a city is $90 with a standard deviation of $24.
in 1894druggist asa candler began distributing handwritten tickets to his customers for free glasses of coca-cola at
Over many years of administering tests to my statistics students I have found that the overall average of the scores on the first exam that I give each semester is 76.
Due to all the unceratinties in government health care legislation, shouldice would like to justify any expansion within a five-year time period. How would I set this problem up?
steam enters the condenser of a steam power plant at 20 kpa and a quality of 95 percent with a mass flow rate of 20000
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