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A) Four marbles are chosen without replacement from a box containing 11 red, 9 blue, and 4 yellow marbles. Let X be the number of blue marbles chosen.a) Find and graph the probability distribution of X.b) Find the mean of the random variable X.
B) A random sample of 20 people found that the number of mail-order catalogs that each had received in the last month were (in order from lowest to highest):0 0 3 4 7 7 8 9 14 17 24 32 36 40 44 45 50 58 62 63a) find the range, mean, median, and mode of the data setb) find the sample standard deviation.c) construct a histogram using classes of size 8.
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
Determine algebraically whether the given function is even, odd, or neither.
For a given event, if the payoffs for alternatives 1, 2, and 3 (the only alternatives) are 50, 125, and -50 respectively, what is the regret associated with alternative 1?
Calculate a confidence interval for the average cost
Show that the points A(4, 1), B(2, -3), C(0, 3) cannot form an equilateral triangle. Draw the graph of the straight line 3x ?4y = 12. Find the equation of a line parallel to the x- axis and passing through the point (5, 7).
Construct a formal proof which shows that the sentence below is a theorem of predicate logic. *the E's are existential quantifiers (usually designated by backwards E's). the & are "and". Do not use quantifier negation rules.
Statistics - Probability, A professional chef's work responsibilities include creating new dishes, shopping for ingredients and cooking the meals. On Friday, Justin, a professional chef, spent 2 hours shopping for ingredients
Sketch both graphs. Find and label the intersection points. Find the area between the graphs using integration. Give the full integral, including limits, in proper notation.
What "postulated proportion" would be associated with that distribution and using beta distribution quantiles, construct a 95% confidence interval for the success proportion of that distribution.
Among the professionals you have interviewed for your article, were several state and federal government spokespersons who use linear equations in a variety of ways.
Show the mass as triple integral and solve the integral using spherical polar coordinate and Use the spherical coordinate integral to evaluate
Identical twins must be the same sex, but the sexes of fraternal twins are independent. Find What is the probability of fraternal twins
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