please help me answer (d) Once an individual has been infected with a certain disease, let X represent the time (days) that elapses before the individual becomes infectious. An article proposes a Weibull distributionwith a = 2.6, ß = 1.5, and y = 0.5. [Hint: The two-parameter Weibull distribution can be generalized by introducing a third parameter y, called a threshold or location parameter: replace xin the equation below,-{**f(x; a, B) =-1-(x/B)a0x ≥ 0x < 0by x - y and x ≥ 0 by x ≥ y.](a) Calculate P(1 < X < 2). (Round your answer to four decimal places.)5763(b) Calculate P(X> 1.5). (Round your answer to four decimal places.).7058standard deviation(c) What is the 90th percentile of the distribution? (Round your answer to three decimal places.)2.567days(d) What are the mean and standard deviation of X? (Round your answers to three decimal places.)meanxdaysdays

Answered: Image /qna-images/answer/bdccc7bf-bc27-4c06-bfa0-bbe255d598d7.jpg

Answered: Once an individual has been infected…

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

Section3.4: Definition Of The Derivative

Problem 50E

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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.
Suppose that the function f(x) 20.25 average molecular speed for this distribution? Write your answer with one decimal place. Preview Submit Suppose that the function f(2)=(-2+82) represented a distribution of molecular speeds over the range 0 to 2. What is the average molecular speed for this distribution? 9.6 Write your with one decimal place. Preview Submit Suppose that the function f(x) value for 2² ? -z¹+92) represented a distribution of molecular speeds over the range 0 to 3. What is the 1 9.6 2¹ +82) represented a distribution of molecular speeds over the range 0 to 2. What is the average Write your answer with two decimal places. Preview
The variation of Y around its mean can be decomposed into which two parts?
Suppose a sample Y1, ..., Yn is selected from an exponential distribution with E (Yi) = θ and V (Yi) = θ2. Let θˆ be an estimator of the mean, θ.1. Explain what a parameter is. What is the parameter of interest in this case?2. Name the properties of a good estimator and explain, shortly, what is meant by each. (a)(b) (c)3. Given the properties you discussed in (2) and the parameter of interest identified in (1), what estimator would you propose?4. What would the sampling distribution of this estimator be? Why?
An individual’s income varies with his or her age. The following table shows the median income I of males of different age groups within the United States for 2012. For each age group, let the class midpoint represent theindependent variable, x. For the class “65 years and older,” we will assume that the class midpoint is 69.5. (a) Use a graphing utility to draw a scatter diagram of thedata. Comment on the type of relation that may existbetween the two variables.(b) Use a graphing utility to find the quadratic function ofbest fit that models the relation between age and medianincome.(c) Use the function found in part (b) to determine the age atwhich an individual can expect to earn the most income.(d) Use the function found in part (b) to predict the peakincome earned.(e) With a graphing utility, graph the quadratic function ofbest fit on the scatter diagram.
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Random variables X and Y have the joint PMF with a constant k (kxy, х — P(x,y) = { 0, 1,4; y = 1,3 otherwise Find the
Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of three succesive bags were plotted, and 47.5% of these were observed to lie between 51 and X pounds. Estimate the value of X. State assumptions you make and say whether these assumptions are likely to be true for this example.
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