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a) Let X and Y be independent random variables with moment generating functions f(t) and g(t), respectively. Let Z=X+Y. Determine MZ(t), the moment generating function of Z, in terms of f(t) and g(t).
b) Let X and Y be independent random variables that are both geometric distributions with likelihood of success equal to p. Using the previous problem, determine the moment generating function MZ(t) of Z=X+Y.
the length of time in minutes that you have to wait in line at your bank is a random variable with a continuous uniform
Is there a relationship between sales and newspaper advertising? Support your answer?
A person rolls a pair of six-sided dice, which are equally likely to come up any number from 1 to 6. If the person rolls a seven he gets $0.
Determine whether there is a significant difference in mean temperatures in three cities using ONE-WAY ANOVA. Determine whether there is significant difference in mean temperatures.
suppose that there are a total of 16 students in an elementary school class. the teacher assigns each of the students a
The data show that acreage owned per family is normally distributed with a mean of 10.0 acres and a standard deviation of 1.5 acres. Calculate the percentage of families that own at least 8.1 acres
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at cruising altitude a commercial jet engine consumes an average of 850 gallons of fuel per hour with a standard
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Gallons and standard deviation 12 gallons. On a randomly selected day, the probability that the store sells at least 154 gallons is?
a distribution center receives shipments of a product from three different factories in the quantities of 6040 and 20.
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