Problem#27. Determine the area under the standard normal curve thatNW lies to the right of(a) z = -3.01(b) z = -1.59(c) z = 1.78(d) z = 3.11

The question is about std. normal dist. Introduction : If z is a std. normal variable then it…

Answered: Problem#2 7. Determine the area under…

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.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 11CR

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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.
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
Determine the slope of the normal to f(x) = /2r – 18 at x= 3?
Give your answers to four decimal places (for example, 0.1234 ). (a) Find the area under the standard normal curve to the right of =z−2.71 . (b) Find the area under the standard normal curve between =z0.10 and =z1.50 .
(b) Find the area under the normal curve to the left of z=−1.53 plus the area under the normal curve to the right of z=2.53. The combined area is
#1 Find the area under the standard normal curve which lies: (a) to the right of - 1.27 (b) between z = -0.25 and z = 2.3 (c) to the left of z = 1.02 (d) between z = -2.9 and z = = 0.14 (e) between z = 1.0 and z = 2.0 (f) to the right of z = 2.39.
the area under the standard normal curve to the right of z = -2.4.
1. Find the z-value such that 95% of the area under the normal curve lies between –z and z.

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Problem#2 7. Determine the area under the standard normal curve that NW lies to the right of (a) z = -3.01 (b) z = -1.59 (c) z = 1.78 (d) z = 3.11