15The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean100 cfs (cubic feet per second).(a) Find the probability that the demand will exceed 230 cfs during the early afternoon on a randomly selected day. (Round your answer to four decimalplaces.)(b) What water-pumping capacity, in cubic feet per second, should the station maintain during early afternoons so that the probability that demand willexceed capacity on a randomly selected day is only 0.02? (Round your answer to two decimal places.)cfs

The provided information is as follows:The demand for water during early afternoon hours follows an…

Answered: 15 The operator of a pumping station…

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 61CR

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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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