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A bag contains r balls, of which 2 are red and r - 2 are black. We draw a ball at random, we write down its color, and we put it to one side (not back in the bag). We repeat the procedure r times.Let X be the number of draws needed to obtain a red ball, and let Y be the number of draws needed to obtain a second red ball.
a. Find the probability law of the vector (X,Y) , and find its marginals.
b. Evaluate Cov(X,Y) .
Surface area of a cube. The formula A = 6V^-2/3(-2/3 power) gives the surface area of a cube in the volume V. What is the volume of a cube with a surface area 12 square feet?
At the .10 significance level you will test to determine if there has been an increase in selling time. Assuming we are using a t test what will be the critical value"?
A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours.
Assume you are conducting a one-way analysis of variance using a 0.05 level of significance and have found that the p-value = 0.02. Which of the follow is correct regarding what you can conclude?
Calculate the t test statistic. Can you reject ρ = 0? (e) Use Excel's function =TDIST(t,deg_freedom,tails) to calculate the two-tail p-value.
if your analysis notes that males in a weight loss program differ from females in amount of weight lost based on the
If the total of the accounts receivable is only $1,000,000 (but the standard deviation was correct), what is the probability the total of the sample would be less than $9,900.
a psychologist is conducting a study in which 30 students attend workshops by the speaking center for one hour per
In the sample of 80 students, 9 were found to be overweight. At a= 0.01, is there adequate evidence to reject claim using critical values?
What is the probability that a particular driver had exactly two speeding violations?
researchers studied the effects of adding an exercise program to dieting in the achievement of weight loss. a sample of
At the start of the study the mean of the group was 24 and the end of the study the mean of the group was 30. The standard deviation of the difference scores was 12.0 and we had 16 subjects.
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