Problem in statistics:Prove that the mean deviation about the mean x of the variable x, thefrequency of whose ith size x; is f; is given by :23 (x Σ , - Σ_fix), Ν=ΣΗΣ_fi* < x* < 1voiteeb ang ganis123από 1Landiisival

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Answered: Problem in statistics: Prove that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that a category of world-class runners are known to run a marathon (26 miles) in an average of 147 minutes with a standard deviation of 11 minutes. Consider 49 of the races. Let x̅ = the average of the 49 races. A) Give the distribution x̅ (round your standard deviation to two decimal places.) x̅~______(______,______) B) Find the probability that the average of the sample will be between 144 and 148 minutes in these 49 marathons. (Round your answer to four decimal places.) C) Find the 70th percentile for the average of these 49 marathons. (Round your answer to two decimal places.) ______ min D) Find the median of the average running times. _____min
Need help! how to get the V , V^2 and wV^2? I need clear solutions
Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1. ← 2 W S The area of the shaded region is (Round to four decimal places as needed.) आईड SA H nd D X 2Demo Outline....docx 3 E 8.0 F3 D C $ 4 a F4 R F V chapt21_lecture....pdf % 5 e " T G 1 ^ 6 B MacBook Air F6 Y H & 7 chapt22_lecture.....pdf N U √₁ Vi J * 8 DII FB I M 1, (0,0) ( 9 K chapt23_lecture....pdf DD FO More O < I H ) O F10 command P J L V Time Remaining:00:42:40 Next - : ; I 4 F11 { [ option + = 11 z = -0.92 ? 1 I Show All F12 1 X X Q C delete L
The position of a point A is defined from a point of observa- tion O by distance OA = D, and the angular deviation from a reference line OB. The mean error in estimating the distance is 100k per cent of the distance; the mean error in estimating the angular deviation is & radians. The error made in representing the point A on a chart obeys a normal tircular distribution with mean deviation r; the error in the position of the point O also obeys a normal circular distribution law with mean deviation R. Find the compound distribu- tion characterizing the error in position resulting from the representation of point A on the chart. How will the probability that point A lies in a rectangle of size 100 x 100 sq. m. change if D decreases from 20 to 10 km. (r = 20 m., R 40 m., & = 0.003, k 0.005) ? =
What is the probability of observing at least 60 cardinal birds in 2012? (Hint: Apply a continuity correction where appropriate.) The observers wish to identify a normal range for the number of cardinal birds observed per year. The normal range will be defined as the interval (L, U), where L is the largest integer ≤ 15th percentile and U is the smallest integer ≥ 85th percentile . mean= 61.71 standard deviation= 9.58 probability of at least 60 birds in 2012 is 0.5714 i was able to figure out all of this but am having trouble finding the exact interval.
The National Health and Nutrition Examination Survey reported in the recent year, the mean cholesterol level for U.S. adults was 202 with standard deviation of 41 (unit: mg/dl) A simple random sample of 110 adults are chosen. Let x¯ be the sample mean cholesterol with a) The probability that the sample mean cholesterol level of the sample of 110 is greater than 210 is P(x¯>210) = ["", "", "", ""] b) What is the probability that the sample mean is between 190 and 200: P(190<x¯<200) = ["", "", "", ""]
Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…
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Prove that the mean deviation about the mean of the variable x, the frequency of whose ith size x; is f; is given by : 2 N x_r_fi - Efixi, Ν= Efi X < x
Please find question attached, Thanks!
a) Mean b) Binomial Distribution

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Problem in statistics: Prove that the mean deviation about the mean x of the variable x, the frequency of whose ith size x; is f; is given by : ~ (* Σ . - Σ _fix), N=ΣΗ Σ_fi N το απ Στον Απόστο Επαναπατ 16781 x < x * < x