The Random Variable X Is Normally Distributed, with a Mean

question 29

Multiple Choice

The random variable x is normally distributed, with a mean equal to 0.45 and a standard deviation equal to 0.40. What is the value of P(x 0.75) ?

• A) 0.7734
• B) 0.7500
• C) 0.2734
• D) 0.2266

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Definitions:

Probability Density Function

A function that describes the relative likelihood for a continuous random variable to take on a given value.

Smooth Curve

A continuous, gently bending line without sharp angles or disruptions, often used in graphing data or in mathematical functions.

Total Area

The sum of all the specific areas within a boundary, often referring to the total surface area covered by a two-dimensional shape or land parcel.

Poisson Distribution

A probability distribution that measures the probability of a given number of events happening in a fixed interval of time or space.