Please do the following questions with full handwritten working out 3.8.2 Let Z=0X be the total family size in a branching process whose offspringdistribution has a mean μ=E[] < 1. Assuming that Xo = 1, show that E[Z] =1/(1 - μ).==

Consider as the total family size in a branching process whose offspring distribution has a mean…

Answered: 3.8.2 Let Z=0X be the total family size…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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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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Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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3.8.2 Let Z=0X be the total family size in a branching process whose offspring distribution has a mean μ=E[] < 1. Assuming that Xo = 1, show that E[Z] = 1/(1-u).