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Consider two probability spaces: In the first, the outcomes are all unordered subsets of size k out of a set of n distinct elements. In the second, the outcomes are all ordered subsets of size k out of a set of n distinct elements. Both probability distributions are uniform. Let E be any event in the first probability space. Let F be the event in the second probability space defined as follows: F = {All ordered sequences (i1, i2, . . . , ik) such that the unordered subset{i1, . . . , ik} is an element of E}. Show that the probability of E in the first probability space is equal to the probability of F in the second probability space.
Descriptive statistics for given data - Evaluate the range, variance, and standard deviation of the data set. Interpret the results in the context of the real-life setting.
A trucking firm suspects that the mean lifetime of a certain tire it uses is less than 35000 miles. To check the claim the firm randomly selects and test 54 of these tires and gets a mean lifetime of 34,570
customers at a gas station pay with a credit card a debit card b or cash c. assume that successive customers make
If you have a population that has a small sample, but does not meet all of the criteria for the nonparametric test how can you tell what test to use?
a teacher finds that the scores of a particularly difficult test were normally distributed with a mean of 76 and
Compute the coefficient of determination and interpret its meaning and compute the standard error of estimate, and interpret its meaning.
several population studies have demonstrated an inverse correlation of the rate of sudden infant death syndrome sids
ages of race car drivers listed below are the ages years of randomly selected race car drivers based on data reported
Their lifetime than non-college graduates. If you were to question the validity of this observation, what would be your basis for doing so?
a man finds that two things cause him to wake up at night- his cat or his dog. if it is due to his cat the time to fall
Select a well-designed sample of at least 30 units. (Describe the population to be studied and the sampling frame). Two variables should be measured with a potential for correlation; if you measure more than two variables, you must correlate two at a..
ll subjects in the study were questioned about lifestyle factors including alcohol, tea, and coffee consumption. The resulting data.
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