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Let X1 and X2 be independent random variables, each exponentially distributed with parameter A. Show that the random variables X1 + X2 and X1/X2 are independent.
The probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. What is the probability that the time lapsed between two consecutive trades will be longer than 17 seconds?
Show that if a random variable has a uniform density with the parameters α and β, the probability that it will take on a value less than α + p(β - α) is equal to p.
the life time t of a durable substance is an exponential distributed ramdom varialble with average 1.5 year
The figure shows a scatterplot of the educational level of twins. Describe the scatterplot. Explain the trend and mention any unusual points.
1. Let Y,,denote the nth order statistic of a random sample of size n from a distribution of the continuous type. Find th smallest value of n for which Pr (eo.9 Y,,) > 0.75.
Find the 95% confidence interval for the experience of a new individual (from the same population from which the data were drawn) who is 50 years old.
My correlation of -077.2 shows that there is almost no association between GDP and Infant Mortality Rate.
What is a probability density function and how is it relevant to the determination of probabilities associated with a continuous random variable?
Develop a multiple linear regression equation that describes the relationship between tenure and the other variables in the chart above. Use the Analysis Toolpak located in Excel to perform this multiple regression.
ind a 95% confidence interval for the proportion of all prospective customers who are PC-savvy. - Find a similar interval for the proportion who are PC-illiterate.
a) Use the method of moments to estimate the two parameters of the beta distribution.
a lot collection consisting of 200 fuses is inspected by taking 10 fuses at random and without replacement. if all 10
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