probability question Consider the triangle A on R2 formed by three points: (0,0), (1,0), andP, where P has coordinates (cos, sin Ⓒ), with uniformly chosen from [0, 2π] (i.e.,uniform([0, 2π])). (Note that P is on the unit circle x² + y² = 1).(a) Find the probability that A is an obtuse triangle.(b) Find the probability that A has area ≤(c) Let A be the area of A. Find E[A], Var[A].

GivenThe data points (0,0) (1,0) and (Cosθ, sinθ) The distribution of θ is uniform between 0,2π The…

Consider the triangle A on R2 formed by three points: (0,0), (1,0), and P, where P has coordinates (cos, sin ), with uniformly chosen from [0, 2π] (i.e., ~ uniform([0, 27])). (Note that P is on the unit circle x² + y² = 1). (a) Find the probability that A is an obtuse triangle. (b) Find the probability that A has area ≤ 1. (c) Let A be the area of A. Find E[A], Var[A].

Consider the triangle A on R2 formed by three points: (0,0), (1,0), and P, where P has coordinates (cos, sin ), with uniformly chosen from [0, 2π] (i.e., ~ uniform([0, 27])). (Note that P is on the unit circle x² + y² = 1). (a) Find the probability that A is an obtuse triangle. (b) Find the probability that A has area ≤ 1. (c) Let A be the area of A. Find E[A], Var[A].

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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