Question: Given the probability density function f(x, ) = ex , 0 x < , > 0.The null hypothesis H0 : = 2 against the alternative

Given the probability density function f(x, ) = ex , 0 x < , > 0.The null hypothesis H0 : = 2 against the alternative hypothesis H1 : > 2 will be tested on the following procedure. H0 should be rejected if a sample x drawn from the population is greater than or equal to 6. Find (i) the probability of Type-I error, (ii) the probability of Type-II error, (iii) the power of the test

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