Suppose the marks obtained by randomly sampled students follow a normal distribution with unknown . A random sample of 5 marks are 30, 50, 69, 23 and 99. Using the given samples find the maximum likelihood estimate for the mean
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Answer:
Maximum likelihood estimation is a method that will find the values of μ and σ that result in the curve that best fits the data. ... The goal of maximum likelihood is to find the parameter values that give the distribution that maximise the probability of observing the data.In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a probability distribution by maximizing a likelihood function, so that under the assumed statistical model the observed data is most probable.
Answer: The five numbers, chosen at random, are 30, 50, 69, 23, and 99. Discover the maximum probability value using the provided samples.
undefined parameter distribution p.... a random selection of pregnancies' gestational length data was used to construct... Through a sequence of instances, we will describe the MLE.
Step-by-step explanation: We must use the following method to determine the mean's maximum probability estimate:
Estimation of the Maximum Likelihood of = (1/n) + xi
where xi is the total of the measured numbers and n is the sample size.
Five numbers were chosen as a sample: 25, 55, 64, 7, and 99.
The approximation of's maximum probability is (1/5) * (25 + 55 + 64 + 7 + 99) = 50.
The mean's highest probability estimate is 50 as a result.
Learn more about approximation from here;
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