3. Predicting when a Florida hurricane occurs (Southeastern Geographer (Summer 2009)) In an effort to minimize the monetary losses that result from a devastating Florida hurricane, part of the researchers' analysis included a graphic showing the sequence number of tropical storms within a season that are most likely to develop into a hurricane. Data for 67 hurricanes are summarized in the table. Let x represent the sequence number of a Florida tropical storm within a season that develops into a hurricane ence Number 10 12 13 14 15 a) Explain why x represents a discrete random variable b) Specify the probability distribution for x c) Find P(x-5) d) Find P(x < 5) e) Find E(x) and interpret the result f) Is it likely to observe a hurricane after the 15th tropical storm of the season? Explain

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.