Let X Be a Continuous Random Variable That Follows a Normal

question 12

Short Answer

Let x be a continuous random variable that follows a normal distribution with a mean of 218 and a standard deviation of 26.
Find the value of x so that the area under the normal curve to the left of x is approximately 0.8770.Round your answer to two decimal places.

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Definitions:

Regression Equation

A mathematical formula that describes the relationship between dependent and independent variables, often used for prediction.

Second-order Polynomial

A polynomial equation of degree two, which can be expressed in the form ax^2 + bx + c, where a, b, and c are constants.

Parabola

A symmetric, U-shaped curve represented by a quadratic function, found in various mathematical and physical contexts.

Concave

A shape or function curving inward, resembling the interior of a circle or sphere.