Suppose That the Random Variable X Has an Exponential Distribution

question 127

Essay

Suppose that the random variable x has an exponential distribution with θ = 3.
a. Find the probability that x assumes a value more than three standard deviations from µ.
b. Find the probability that x assumes a value less than one standard deviation from µ.
c. Find the probability that x assumes a value within a half standard deviation of µ.

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Definitions:

Resting Membrane Potential

The electrical potential difference across the plasma membrane when a cell is in an unstimulated condition.

Na+

Sodium ions, essential electrolytes in the body that play critical roles in nerve function, muscle contraction, and fluid balance.

ECF

Extracellular fluid, which is the body fluid outside the cells, playing a critical role in transporting nutrients and removing waste.

Resting Membrane Potential

The electrical charge difference across the membrane of a resting neuron or muscle cell, making it polarized and ready for activation.