31. (Continuous series-exclusive).Find the median of the following distribution.FrequenciesClass-intervalsRs.Class intervalsFrequenciesRs.11-13161-36.13-1543-5535-78515-174.7-9569-1121245

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Answered: Find the median of the following…

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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1. For a symmetrical distribution __________________________. 2. The measures of dispersion can never be ___________________. 3. If the maximum value in a series is 25 and its range is 15, the minimum value of the series is _________________. 4. In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to _________.
This is about central limit theorem, can someone help me? 1. The average number of liters of fresh milk that a person consumes in a month is 18 liters. Assume that the standard deviation is 4.5 liters and the distribution is approximately normal. a. Find the probability that a person selected at random consumes more than 16 liters per month. b. If a sample of 32 individuals is selected , find the probability that mean of the sample will be more than 16 liters.
Two resistors, with resistances R1 and R2, are connected in series. R1 is normally distributed with mean 100Ω and standard deviation 4Ω, and R2 is normally distributed with mean 120Ω and standard deviation 10Ω. What is the probability that R2 exceeds R1 by more than 30 Ω?
3. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours. Calculate the standard deviation from the CLT ( Central Limit Theorem) to 4 places.
2. An unknown distribution has a mean of 45 and a standard deviation of eight. Samples of size n = 30 are drawn randomly from the population. Find the probability that the sample mean is between 42 and 50. Calculate the standard deviation from the CLT ( Central Limit Theorem) to 4 places. For the answer, round to the second decimal place. For example: 0.00
1. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of size n = 50 is drawn randomly from the population. Find the probability that the sample mean is between 1.8 hours and 2.3 hours. Calculate the standard deviation from the CLT ( Central Limit Theorem) to 4 places. For your answer, go to the 3th decimal place. For example: 0.000
Lost-time accidents occur in a company at a mean rate of 0.3 per day. What is the probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3? Assume Poisson situation. P(X=3)
Recall also that for large sample values, the Central Limit Theorem applies. That is, as the sample size n increases without limit, the shape of the distribution of the sample means taken from the population with mean μμ, and standard deviation σσ, will approach a normal distribution. So, with the application of the Central Limit Theorem, approximately 95% of the sample means taken from a population will fall within ±1.96±1.96standard errors of the population mean. Thus, the interval estimate is given by, μ−1.96(σn√)toμ+1.96(σN√)μ−1.96(σn)toμ+1.96(σN) The General Formula for confidence intervals for large samples is: lower confidence boundary or limit < population mean< upper confidence boundary or limit X−zα2(σn√)<μ<X+zα2(σn√)X−zα2(σn)<μ<X+zα2(σn) Also consider the following: Confidence Level zα2valueszα2values (confidence coefficients) 90% ±1.645±1.645 95% ±1.96±1.96 99% ±2.58±2.58 A Four-step Process in Computing the Interval Estimates Step…
Two resistors, with resistances R1 and R2, are connected in series. R1 is normally distributed with mean 100 Ω and standard deviation 5 Ω,and R2 is normally distributed with mean 120 Ω and standard deviation 10 Ω. a) What is the probability that R2 > R1? b) What is the probability that R2 exceeds R1 by more than 30 Ω.
Suppose that An is a sequence of random variables that converges inprobability to 3. Suppose that Bn is a sequence of random variables thatconverges in distribution to a standard normal. What is the asymptotic distribution of AnBn? Use this asymptotic distribution to compute an approximate value of Pr(AnBn< 2).
Suppose an x-distribution has mean μ = 4. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. What is the value of the mean of each of the two x distributions? For n = 49, μx= For n = 81, μx=
Suppose that X has a continuous uniform distribution between 0 and 20. What is the probability that x is between 0 and 5?

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Find the median of the following distribution. Frequencies Class-intervals Rs. Class intervals Frequencies Rs. 1-3 6. 11-13 16 3-5 53 13-15 5-7 85 15-17 4 7-9 56 9-11 21 245