4. Suppose that the random variable Y~U(0,θ). a. Use a transformation technique to show that W=Y/...

4. Suppose that the random variable Y~U(0,θ).

a. Use a transformation technique to show that W=Y/ θ is a pivotal quantity.

b. Use a. to find a 95% confidence interval for θ.

c. The time Clark walks into his Stats class is U(0,θ), where 0 represents 4:55pm, and time is measured in minutes after 4:55. If he shows up at 5:59 on a given day, use c. to find a 95% confidence interval for θ. Use two decimal places. Interpret the meaning of this interval.

d. DERIVE the pdf of Ymax, the maximum of a random sample of size 4 from U(0,θ).

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orchestra answered 1 year ago

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