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1. Suppose that the random variables X and Y are independent and N (0, σ2)- distributed.
(a) Show that X/Y ∈ C(0, 1).
(b) Show that X + Y and X - Y are independent.
(c) Determine the distribution of (X - Y )/(X + Y ).
2. Suppose that the moment generating function of (X, Y )t is ψX,Y (t, u) = exp{2t + 3u + t2 + atu + 2u2}. Determine a so that X + 2Y and 2X - Y become independent.
q1. determine the appropriate approach to conduct a hypothesis test for this claim fewer than 5 of patients experience
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What is the probability that there are less than 500 nails in a randomly selected five pound box of nails?
What is the minimal number of days a person must watch to be at least 96.8% sure of seeing one or more hawks migrating?
These questions related to Basic Statistics and discuss about two true and false statements. The first question is about F being statistically significant and means also to be statistically significant
Assuming that both turnover and costs have normal distributions, each with a standard deviation of $250000, what is the probability that the company makes a profit?
The nature of the hypothesis being tested, and the appropriateness of the statistical procedures employed in that test. You may illustrate your points using the tests you conducted.
In a study , the average age of the male candidates who were affected , was 38.20 whereas the average age of the female subjects was calculated to 34.976 with the standard deviation of 156.91 and 116.16 respectively
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An investigator analyzed the leading digits of the amounts from 200 checks issued by three suspect companies. Calculate the χ2 test statistic. Calculate the χ2critical value
What is the correlation coefficient & how strong is it
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