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In which method can you decide that one point estimator is better than another?

Determine the covariance and correlation for the following joint probability distribution:

A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. Find the probability that a random sample of n = 6 fiber specimens will have sample mean tensile strength that exceeds 75.75 psi.

Suppose that the cumulative distribution function of the random variable X is 0.25x when 02.

The monthly demand for MMR vaccine was assumed to be approximately normally distributed with a mean and standard deviation of 1.1 and 0.3 million doses, respectively. Suppose that the demands for different months are independent, and let X denote the demand for a year (in millions of doses). Determine P(X < 15)

An engineer observes that the strength of a manufactured material slightly differs between production batches, even though the same process settings are used. Which of the following best describes this situation?

The thickness of photoresist applied to wafers in semiconductor manufacturing at a particular location on the wafer is uniformly distributed between 0.2050 and 0.2150 micrometers. Find the probability that thickness exceeded by 10% of the wafers.

A true coelom is completely lined by:

Some  sponges have a mutualistic association with shrimp.  The shrimp are trapped in the sponge for life and help clean up the sponge while the sponge houses the shrimp.  These sponges belong to class_______-

Which of the following best describes an acoelomate organism?