THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING

question 198

Multiple Choice

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
The following table presents the probability distribution function for the number of claims processed per hour at an insurance agency.

-Let a = -μ_x/σ_x and b = 1/σ_x in the linear function Z = a + bX.Which of the following statements is true?

• A)μ_z = μ_x
• B)μ_z = 0
• C)σ_z = a + bσ_x
• D)σ_z = σ_x

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Definitions:

Discrete Integer

Refers to a type of numerical data that can only take specific, separated values and cannot be fractional.

Poisson Process

A statistical process that models the occurrence of events within a fixed interval of time or space, assuming that these events happen with a known constant mean rate and independently of the time since the last event.

Continuous Random Variable

A variable that can take on an infinite number of values within a given range, representing measurements.

Binomial Distribution

An analytical distribution showing the probability of a variable assuming either of two separate states within a specified number of observations.