10. A dealer's profit, in units of $5000, on a new automobile is a random variable X having densityfunctionf(x) = {2(1-x)0≤ x ≤1elsewhere(a) Find the variance of the dealer's profit.

Answered: 10. A dealer's profit, in units of…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.

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10. A dealer's profit, in units of $5000, on a new automobile is a random variable X having density function f(x) = {2(1-x) 0≤x≤1 elsewhere (a) Find the variance of the dealer's profit.