Math

CalculusCalculusProbability In Exercises 91 and 92, the function f ( x ) = k x n ( 1 − x ) m , 0 ≤ x ≤ 1 Where n>0, m>0, and k is a constant, can be used to represent various probability distributions. If k is chosen such that ∫ 0 1 f ( x ) d x = 1 then the probability that x will fall between a and b ( 0 ≤ a ≤ b ≤ 1 ) is P a , b = ∫ a b f ( x ) d x . The probability that ore samples taken from a region contain between 100a% and 100b% iron is P a , b = ∫ a b 1155 32 x 3 ( 1 − x ) 3 / 2 d x Where x represents the proportion of iron. (See figure.) What is the probability that a sample will contain between 0% and 25% iron? What is the probability that a sample will contain between 50% and 100% iron?BuyFind*launch*

10th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781285057095

Chapter 4.5, Problem 86E

Textbook Problem

Probability In Exercises 91 and 92, the function

Where n>0, m>0, and k is a constant, can be used to represent various probability distributions. If k is chosen such that

The probability that ore samples taken from a region contain between 100a% and 100b% iron is

Where x represents the proportion of iron. (See figure.)

What is the probability that a sample will contain between 0% and 25% iron?

What is the probability that a sample will contain between 50% and 100% iron?

Calculus

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In Exercises 109 and 110, determine...Ch. 4.4 - True or False? In Exercises 111 and 112, determine...Ch. 4.4 - Analyzing a Function Show that the function...Ch. 4.4 - Finding a Function Find the function f(x) and all...Ch. 4.4 - Finding Values Let G(x)0x[s0sf(t)dt]ds where f is...Ch. 4.5 - CONCEPT CHECK Analyzing the Integrand Without...Ch. 4.5 - Finding u and du In Exercises 14, complete the...Ch. 4.5 - Recognizing Patterns In Exercises 5-8, complete...Ch. 4.5 - Recognizing Patterns In Exercises 5-8, complete...Ch. 4.5 - Recognizing Patterns In Exercises 5-8, complete...Ch. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 526,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 9-30,...Ch. 4.5 - 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Differential Equation In Exercises 2730, solve the...Ch. 4.5 - Slope Field In Exercises 35 and 36, a differential...Ch. 4.5 - Slope Field In Exercises 35 and 36, a differential...Ch. 4.5 - Differential Equation In Exercises 37 and 38, the...Ch. 4.5 - Differential Equation In Exercises 37 and 38, the...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 3342,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Indefinite Integral In Exercises 39-48,...Ch. 4.5 - Finding an Equation Exercises 49-52, find an...Ch. 4.5 - Finding an Equation Exercises 49-52, find an...Ch. 4.5 - 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Evaluating a Definite Integral In Exercises 7582,...Ch. 4 - Evaluating a Definite Integral In Exercises 7582,...Ch. 4 - Finding the Area of a Region In Exercises 73 and...Ch. 4 - Finding the Area of a Region In Exercises 73 and...Ch. 4 - Using an Even Function Use 02x4dx=325 to evaluate...Ch. 4 - 86. Respiratory Cycle After exercising for a few...Ch. 4 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4 - Using the Trapezoidal Rule and Simpson's Rule In...Ch. 4 - Using a Function Let L(x)=1x1tdt,x0 (a) Find L...Ch. 4 - Parabolic Arch Archimedes showed that the area of...Ch. 4 - Evaluating a Sum and a Limit In Exercises 3 and 4,...Ch. 4 - Evaluating a Sum and a Limit In Exercises 3 and 4,...Ch. 4 - Fresnel Function The Fresnel function S is defined...Ch. 4 - Approximation TheTwo-Point Gaussian Quadrature...Ch. 4 - Extrema and Points of Inflection The graph of the...Ch. 4 - Falling Objects Galileo Galilei (15641642) stated...Ch. 4 - Use the techniques of this chapter to verify this...Ch. 4 - Use the techniques of this chapter to verify this...Ch. 4 - Riemann Sum Use an appropriate Riemann sum to...Ch. 4 - Riemann Sum Use an appropriate Riemann sum to...Ch. 4 - Proof Let f be integrable on [a, b] and 0mf(x)M...Ch. 4 - Using a Continuous Function Let f be continuous on...Ch. 4 - Velocity and Acceleration A car travels in a...Ch. 4 - Proof Prove that if f is a continuous function on...Ch. 4 - Verifying a Sum Verify that i=1ni2=n(n+1)(2n+1)6...Ch. 4 - Sine Integral Function The sine integral function...Ch. 4 - Comparing Methods Let I=04f(x)dx where f is shown...Ch. 4 - Minimizing an Integral Determine the limits of...

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