For persons infected with a certain form of malaria, the length of time spent in remission is described by the1continuous pdf fy(y) = y³, 0 ≤ y ≤ 2, where Y is measured in years. What is the probability that amalaria patient's remission lasts longer than one year?(round to 3 decimal places)

Given that A random variable Y is the length of time spent in remission. The pdf of the random…

Answered: For persons infected with a certain…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 29CR

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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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For persons infected with a certain form of malaria, the length of time spent in remission is described by the continuous pdf fy(y) = y³,0 ≤ y ≤ 2, where Y is measured in years. What is the probability that a malaria patient's remission lasts longer than one year? (round to 3 decimal places)