Following equation is given Y= (x+5)^3 + x^2 +10x What is the expected value of Y? Given E{X} = 4 E{x^2} = 9 E{x^3} =12 Explain Briefly
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Following equation is given
Y= (x+5)^3 + x^2 +10x
What is the
Given E{X} = 4 E{x^2} = 9 E{x^3} =12
Explain Briefly
Step by step
Solved in 2 steps with 2 images
- According to recent data the survival function for life after 63 is approximately given by S(x) = 1-0.052x-0.078x² where x is measured in decades. This function gives the probability that an individual who reaches the age of 63 will live at least x decades (10x years), longer. a. Find the median length of life for people who reach 63, that is, the age for which the survival rate is 0.50. ye years (Round to the nearest whole number as needed.)General Electric models the time X in years that a new microwave will last using the following PDF f(x)= (3x2e(−x^3/8^3))/8^3, x>0 (a) Write out the CDF and quantile formulas. (b) What proportion of microwaves does GE anticipate will last at least 10 years? (c) What is the median length of time until failure for a new microwave?Explain the method of fitting of an exponential curves of the form (i) Y = abX and (ii)Y= aebx to the given data.
- (A/G, 12%, 5) is the same with the following equation: A) F=G/.12[((1.12^5)-1)/.12) - 5] F=A[((1.12^5)-1)/.12] A=G[1/.12 - (5/((1.12^5)-1)] D) A=P[.12/(1-(1.12^-5))]verify the propertySuppose that the time in minutes, Y , that an insect spends on a plant is exponentiallydistributed such that Y ∼Exp( 1/3)(a) Evaluate P(Y > 4)(b) Evaluate P(2 < Y < 6)(c) What is the mean length of time that this insect spends on a plant?
- The population of Lindsay is increasing by approximately 1.8% per year. In 2010 the population of Lindsay was 11,768 people. If 'T is the time in years and 'P' is the estimated population, what is the equation that would model the expected growth of Lindsay? O A.P = 18 (11768) O B. P = 11768 (18) OCp= 11768 (1.8) ODP = 11768 (1.018)*When we fit a logistic regression model with a single explanatory term, x, we often assume that logit (pi) Bo + ₁x₂ where, for the ith observation, p; is the probability of a trial being successful and *; is the value of the explanatory variable. Which of the following is a good reason for using the logit link function? We can't use more than one explanatory term unless we use this link function. It allows us to model nonconstant variance in the response variable. It ensures that the probability of success is between 0 and 1. It ensures that the variance of the response is the same for all observations.In Example 6 we used data from 1920 and projected to 2050 and found that the expected life span in the United States can be modeled as a function of the year of birth by L(x) = 8.7744 + 14.907 ln(x) where x is the number of years after 1900. Using data from 1920 to 1989, the model ℓ(x) = 11.616 + 14.144 ln(x) where x is the number of years after 1900, predicts expected life span as a function of birth year. Use both models to predict the life spans for people born in 2006 and in 2022. (Round your answers to two decimal places.) model L: 2006 years model L: 2022 years model ℓ: 2006 years model ℓ: 2022 years Did adding data from 1990 to 2050 give predictions that were quite different from or very similar to predictions based on the model without that data? The additional data gave predictions that were quite different than (i.e., more than 5 years removed from) predictions based on the earlier model. The additional data gave predictions that were very…
- Suppose the relationship between Y and X is given by: Y = 25 - 3X + error By how much does the expected value of Y change if X decreases by 2 units?Is (∑i=2 Xi)/(n-1) a consistent and unbiased estimator of E(X)? Explain your result.Answer the following questions based on the regression output: What is the expected value of the Log of Wage for a person with 10 years of education? (a) 9 (b) 15 (c) 5 (d) 13 (e) 25
