Find the moment-generating function of the contin-uous random variable X whose probability density is given by f(x) =1 for 0 < x < 10 elsewhere and use it to find μ1,μ2, and σ2.

When the null hypothesis is true, the F test statistic is close to .When the null hypothesis is false, the F test statistic is most likely

Let S be a continuous random variable representing the students' study time (in hours) for their Statistics final paper. The probability density function is given by: = {(2 + + 5 4s 15 f(s) = i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S - 6S²). ,1 ≤s≤4 , otherwise

If x̄=89​, σ=13​, and n=70​, construct a 95​% confidence interval estimate of the population​ mean, μ.   ____≤μ≤______ ​(Round to two decimal places as​ needed.)