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Let A and B be 2 independent events such that the probability is 1/3 that they will occur simultaneously and t that A will occur and B will not occur. Find P[A] and P[B]; are P[A] and P[B] uniquely determined?
The amount of money requested on a home loan application at federal savings follow the normal distribution, with a mean of $270,000 and a standard deviation of $35,000. A loan applicatiom is received this morning. What is the probability:
an automatic welding machine is being considered for production. it will be considered for purchase if it is successful
The probability that a baseball player hits a home run is greater than the probability that he gets a successful hit.
Carry out a two-sample t test to compare the population means. What assumptions are required for this to be a valid test? At the α = 0.05 signi?cance level, what does this result imply about the null hypothesis?
If a Normal model is useful for describing slalom times, approximately how many of the other 35 skiers finishing the event would you expect skied the slalom faster than Jean-Baptiste?
Of all donuts produced, 0.0075 are rejected because the donut holes are too small to fit over a rack on which the donuts are hung to cool
hypothesis testing of single mean.dole pineapple inc. is concerned that the 16-ounce can of sliced pineapple is being
Fitting of multiple linear regression equation - Give a list of the model assumptions for a regression model.
How large a sample should she check in order to be 90% confident that the true proportion is estimated to within 1.5%?
for a particular company the number of sick days used by employees had a mean of 7 and a standard deviation of 2.a. a
Prove that for the entropy of a probabilistic system we have where In represents the natural logarithm (e.g., see Shier, 1988). The entropy is thus maximized when all outcomes are equally probable (uniform distribution).
They are thinking of introducing a new flavour, maple-marshmallow Frumpies, and want to know whether children will prefer the new flavour to the old one. Design a completely randomized experiment to investigate this question.
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