Probability density function
Let Y1 and Y2 be two independent random variables such that each Yi has the uniform distribution on interval (0,i). Let the random variable W be stated as W = max (Y1,Y2). Find out the probability density function of W.
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Describe the difference between these two situations, and describe how this is evidence of the electron's energy quantization.
A nursing school wants to determine the true mean annual income of its alumni. It randomly samples 120 of its alumni. The annual income was $58,700 with standard deviation of $1,500. Find out a 95% confidence interval for the true mean annual inco
Suppose a population with µ 65.7 and s =5.52. Compute the z-score for x =63.1 from a sample of size 13.
Assume that number of bacteria in the certain population rises according to the continuous exponential growth model. Determine the hourly growth rate parameter.
A researcher fails to find out a significant difference in mean blood pressure in 36 matched pairs. The standard deviation of differences was 5mmHg. What was the power of test to find out a mean difference of 2.5mmHG at alpha=.05 (two-sided)?
The wave reflects from the speeder's car and returns to the police car, where its frequency is measured to be 316 Hz less than the emitted frequency. Determine the speeder's speed with respect to the ground.
Suppose that a practitioner decides to employ a control chart with 2.5-sigma limits. If normality can be supposed (as well as known parameter values), Determine the numerical value of the in-control ARL?
An auditor desires to determine what proportion of a bank's commercial loan files is complete. The auditor randomly samples 60 files and finds 12 are incomplete.
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