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A pair of random variables, (X,Y) , is equally likely to fall anywhere within the region defined by |X| + |Y| <=1.
(a) Write the form of the joint PDF, fx,y(x,y).
(b) Find the marginal PDFs fx(x) and fy(y).
(c) Find Pr(X>1/2) and Pr(Y<1/2)
(d) Find Pr(Y<1/2 | X>1/2). Are the events {X>1/2} and {Y<1/2} independent?
Of 1338 people who came into a blood bank to give blood, 253 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure.
What is the probability the crew member earns: a. Between $20.50 and $24.00 per hour? b. More than $24.00 per hour? c. Less than $19.00 per hour?
In a manufacturing process, the diameter of the steel rods is the product characteristic. A random sample of 25 steel rods is taken and sample mean is 8.88 cm.
Suppose the lot consists of ten boards, of which two are green. Does the assumption of independence now yield approximately the cor- rect answer for P(A n B)? What is the critical difference between the situation here and that of part (a)?
What are the correlations of all the explanatory variables with GPA? Explain why knowing the correlations tell us which variables will best predict GPA in a regression with just one explanatory variable. What are the two best predictor variables? ..
according to a website about salaries the national average salary as of october 2003 for a human resources clerk was
A p-value of 0.82 obtained for a particular hypothesis test would indicate strong evidence that the null hypothesis is true. Discuss.
the proportion of left-handed people in the general population is about 0.1. suppose a random sample of 225 people is
Level of education attained by the women from a rural region is divided into three categories: can read/write degree; primary degree; secondary and above degree
dizio tv company has recently invested in manufacturing processes to enhance the quality of their products. in testing
Using a 1% level of significance, can we say that there is a difference in the average waiting time between the two shops? Find the critical value(s).
What are the critical z-values for a two-tailed hypothesis test and in classical hypothesis testing, the test statistic.
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