DO THIS ONLY TYPEWRITTEN FOR UPVOTE. DOWNVOTE FOR HANDWRITTEN. THANK YOU. SKIP IF YOU ALREADY DID THIS. IF I SEE THE SAME SOLUTIONS, I WILL GIVE A DOWNVOTE.THE BIG NUMBER IS ONLY FOR NUMBERING. DO NOT MIND THAT. 4. Let X be a single observation from a Bernoulli density. Let T₁ (X) = X and T₂(X) =a. Are both T₁ (X) and T₂ (X) unbiased? Show which of them are indeed unbiased.b. Compare the MSE of the two estimators.c. Evaluate if the two are MSE consistent.

Given:Let X be a single observation from a bernoulli .T1(x)=X and T2(X)=12

Answered: 4. Let X be a single observation from a…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 51E

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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.
The following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02
Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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4. Let X be a single observation from a Bernoulli density. Let T₁ (X) = X and T₂(X) = a. Are both T₁ (X) and T₂ (X) unbiased? Show which of them are indeed unbiased. b. Compare the MSE of the two estimators. c. Evaluate if the two are MSE consistent.