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The joint probability mass function of X and Y, p(x,y), is given by
P(1,1)=1/9
P(1,2)=1/9
P(1,3)=0
P(2,1)=1/3
P(2,2)=0
P(2,3)=1/6
P(3,1)=1/9
P(3,2)=1/18
P(3,3)=1/9
Compute E[X|Y=i] for i=1,2,3.
Are the random variables X and Y independent?
Find a 95% confidence interval for the mean µ of the population from which the men were selected.
A state lottery involves the random selection of six different numbers between 1 and 28. If you select one six number combination, what is the probability that it will be the winning combination?
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For each variable, identify the kind of graph that should be used to display the distribution of scores (histogram, polygon, or bar graph).
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Normally distributed with a mean of 852 and a standard deviation of 143. The proportion of days when at least 800 cars pass through the intersection is about?
Student A transfers to FSU and has a cholesterol reading of 199. What is the probability of observing a cholesterol reading of 199 or less?
The manufacturer then changes a manufacturing process and produces another batch and again measures the MTBF. Did the change to the process improve the MTBF?
Avid poker player sees 100 hands a week, 52 weeks a year, for 20 years. What is the probability that she sees a royal straight flush dealt at least once?
Estimate the proportion of low birth weight infants whose mothers experienced toxemia during pregnancy. Use 95% confidence level.
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