Suppose That the Random Variable $x$ Has an Exponential Distribution With $\theta = 1.5$

question 127

Multiple Choice

Suppose that the random variable $x$ has an exponential distribution with $\theta = 1.5$ . Find the probability that $x$ will assume a value within the interval $\mu \pm 2 \sigma$ .

• A) 864665
• B) \(.950213\)
• C) 049787
• D) .716531

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Definitions:

Intuitive Thought

A thinking process that relies on instinctive feeling rather than conscious reasoning, often used in making quick decisions.

Deductive Reasoning

An intellectual procedure where an inference is made based on the congruence of many premises assumed valid.

Concrete Reasoning

A form of thinking that relies on physical objects and specific examples to understand concepts, characteristics of early childhood cognitive development.

Analytic Thought

The process of solving problems using logical reasoning, often involving the breaking down of complex information into simpler components.