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Consider the following marble game: A box contains m red marbles and n blue marbles (n, m > 0) and a fixed number - here three - of draws. The rules of the draw are as follows:
(i) If a red marble is drawn, it is placed in a temporary holding pan which is outside the box.
(ii) If a blue marble is drawn, it is placed back in the box along with all of the (necessarily red) marbles in the holding pan.
Aside from the above, the rules/law is according to the usual random selections described in similar contexts.
Let us denote by b1 the event of a blue marble on the first draw and similarly for b2, . . . , r3. Show that the 1 and 3 type events are not independent but, conditioned on b2, these events are (conditionally) independent.
A multiple choice quiz has 150 questions each with 5 choices and only 1 is the correct answer. What is the probability that sheer guess work yield from 30 to 40 correct answers out of the 150 questions?
Suppose wheat and sugar are two basic ingredients necessary to bake two items: a loaf of bread and a muffin. A baker has 25 pounds of wheat and 5 pounds of sugar.
Your consulting company has been hired by an airline to analyze data on passenger and luggage weights. The data refer to a 200 seat aircraft that is always full. You are given data that show that as a good approximation passenger weights W ~ N (150, ..
The data (in milliamps) are shown below. Using the .05 level of significance, are there any differences in the three categories.
a sales manager collected the following data on annual sales and years of experience. sales
Is there evidence of a difference in the median performance between the two methods? (Use x = 0. 05).
From past estimates, manager thinks that about 4% of customers have expressed dissatisfaction. What sample size must you use for this survey?
on august 26 2011 metro transit reported that 13 of the vikings fans travel to metrodome on the hiawatha light-rail
If a garage is robbed, what is the probability the doors were left open?
Military radar and missile detection systems are designed to warn a country of enemy attacks. What is the probability that 1 detection system will detect an attack.
Their mean monthly sales were $10,000 with a standard deviation of $1000. Construct a 95% confidence interval for the population mean.
Classify the following as an example of nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level: Gender of employees at a local warehouse.
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