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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 110

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Let the random variable Z follow a standard normal distribution.
-Find the value k such that P(0 < Z < k)= 0.35


Definitions:

Y-intercept

The point at which a line or curve crosses the y-axis of a graph, indicating the value of the dependent variable when the independent variable is zero.

Exponentially Distributed

Defines a continuous probability distribution frequently utilized to represent the duration between independent events occurring at a stable average pace.

Light Bulb

An electric device that produces light by the flow of electrical current, typically consisting of a filament or LED that glows when heated.

Exponential Distribution

A probability distribution that describes the time between events in a Poisson point process, representing the times between events in a homogeneously random process.

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