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X1,..., Xn are n independent identically distributed samples of random variable X with PMF
(a) How is E[X] related to PX (1)?
(b) Use Chebyshev's inequality to find the confi- dence level α such that M90(X), the estimate based on 90 observations, is within 0.05 of PX (1). In other words, find α such that
(c) Use Chebyshev's inequality to find out how many samples n are necessary to have Mn(X) within 0.03 of PX (1) with confidence level 0.1. In other words, find n such that
The probability Mary will receive an A in a class is 0.70. Assuming independence, if she is taking 5 classes this semester, calculate the probability she will receive exactly 3 A's.
Set up hypotheses and test to find out whether or not population variance is larger than $100.
question in a group of persons traveling in a bus 6 persons can speak tamil 15 can speak hindi and 6 can speak
Suppose that an individual stock's return is normally distributed with a mean of 10% and a standard deviation of 8%. What is the probability that the stock's return will be at least 16%?
The engineers hoped to base their decision on the reactions of 50 drivers, but time and budget constraints may force them to cut back to 20. How would this affect the power of the test? Explain.
Medium-sized college town were surveyed, and it was found that 110 were regular voters. Estimate the true proportion of regular voters with 90% confidence and comment on your results.
The customer measured the tension of each and calculated the summary statistics. In order to conduct the test, the customer selected a significance level of Interpret this value.
suppose x is a discrete random variable with probability distributionx01fx1-ppin other words x is a bernuolli random
estimating confidence interval for mean value of y dependent variable.consider the simple linear regression of y
To test whether there is any association between two variables using Chi-Square test for independence.
Identify the null hypothesis, alternative hypothesis, test statistic, Critical Values, conclusion about the null hypothesis, and final conclusion that addresses the original claim.
The average income of 11 families who reside in a rural area of the Midwest is $60,213, with a standard deviation of $2009. At α =0.05, can it be concluded that the families who live in the cities have a higher income than those who live in the ru..
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