The annual salaries (in $) within a certain profession are modelled by a random variable with the cumulative distribution function-3F(x) =(1 − kx¯³ for x > 400000 otherwise,for some constant k. For these problems, please ensure your answers are accurate to within 3 decimals.Part a)Find the constant k here and provide its natural logarithm to three decimal places.Natural logarithm of k:Part b)Calculate the mean salary given by the model.Part c)Find the proportion in the profession earning less than the mean, giving your answers as a fraction or to three decimal places.☐

Part a) Find the constant kThe problem gives us a function that describes how salaries are…

Answered: The annual salaries (in $) within a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The monthly percentages of all shipments received on time are Monthy Proportion of On Time Shipments 72 81 78 90 83 85 90 82 89 81 85 84 78 88 Using the better method (4 month moving average or exponential smoothing with α=0.3), what is the forecast for next month? (round up to the nearest integer if your answer is not an integer)
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I only need B,C, and D
In this example, what is the probability of a person who lives in a single home with a single family with multiple generations getting infected with Covid? Enter the answer to three digits after the decimal place.
You are given the following data: X= [1.5, 10.22, 2.4, 5.8, 0.43] What would you choose as the parameter if you were to model this as fe a lognormal distribution? (Enter your answer with up to two digits after the decimal point).
A survey was conducted and asked: "Do you consider your health to be poor?" This was coded as 1 for "yes" and 0 for "no." The effect of age (in years) and sex (1 male, 0 = female) on the outcome was examined using logistic regression. The fitted logistic model is: = logit(ô) = −0.544 + ß * sex + 0.0331 * age (a) What are the odds of responding "yes" for a female subject who is 60 years old? (b) What is the estimated odds ratio corresponding to the age variable? Interpret this estimate. (c) Suppose that, based on the data from the survey, the odds of responding "yes" for males are 3.79% greater than the odds for females, adjusting for age. What is the value of Â? (d) If we only wanted to assess the association between survey response (yes/no) and sex, what other method(s) (that we have learned in this class) could we have used (name at least one)? In your own words, explain why we cannot use the same method(s) if we want to consider the effects of both sex and age on survey response.
Q2. You collected 500 weeks of data (2500 days total). Based on that you find Tuesday's mean return is 12 bps. Mean return of all days is 2 bps. Stdev across all days is 100 bps. There is no noticeable difference b/w Tuesday stdev vs other weekdays' stdev. Based on q1c find D Q1c. what is the mean log return and stdev of log return over one year period and four year period (assuming 252 trading days per year)? Q1d. based on Q1c what is the probably of losing money (negative log return) or doubling your money (total log return = ln(2)) over 1 year and 4 year period?
probability and stats
An article in the European Physical Journal B ["Evidence for the exponential distribution of income in the USA" (2001, Vol. 20, pp. 585- 589)] shows that individual income in the US can be approximated with an exponential distribution. Suppose that the mean of individual income in a year is $25000. eTextbook and Media (b) What percentage of individuals in the US earn less than $20000? Round your answer to three decimal places (e.g. 0.987). P(X 50000) = (d) What is the income exceeded by 1% of individuals? Round your answer to the nearest integer (e.g. 9876). x =

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