1.Derive M(t), E(X), and Var(X) for Exponential Distribution.2. Derive M(t) of Chi Square Distribution.

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Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter8: Graphing Quadratic Functions

Section: Chapter Questions

Problem 17CT

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Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
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.
The US. import of wine (in hectoliters) for several years is given in Table 5. Determine whether the trend appearslinear. Ifso, and assuming the trend continues, in what year will imports exceed 12,000 hectoliters?
Let X = b(16,- find E(4- 3x) and distribution function.
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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
cumulative distribution function for heights (in meters) of trees in a forest is F(x). (a) Explain in terms of trees the meaning of the statement F (7) = 0.5. F (7) = 0.5 tells us that i (b) Which is greater, F (7) or F (6)? Justify your answer in terms of trees. because every tree of height eTextbook and Media % of the trees in the forest have Same for stor meters also has height mete
Don
please solution about C D and E
Suppose that the distribution of the lifespan of an item has the hazard rate function λ(t) = t3. What is the probability that: (a) the item survives to age 2? (b) a 1-year-old item will survive to age 2?
Exponential Distribution has a memoryless property. Intuitively, it means that the probability of customer service answering you call (assuming waiting time is exponential) in the next 10 mins is the same, no matter if you have waited an hour on the line or just picked up the phone. Formally, if X ∼ exponential(λ), f(x) = λ exp(-λx), and t and s are two positive numbers, use the definition of conditional probability to show that P(X > t + s | X > t) = P(X > s). Hint: Find the cdf of X first, and note that P(X > t + s Ç X > t) = P(X > t + s)
You and your friends are invited to a party. The time of your arrival, X, is exponentially distributed with mean 2. Let N be the number people who arrive before you. Assume that N|X = x ∼ Geo(β = x). Determine E(N) and V(N)

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