‒‒‒‒‒‒‒According to a study, the length of pregnancy has unknown distribution with a mean of 274 days and astandard deviation of 14.8 days. Let X be the length of pregnancy for a randomly selected female and letX be the average length of pregnancy for a random sample of size 11.1. Describe the probability distribution of X and state its parameters μ and o:X~ unknown∞ (μ = 27 0,0 = 14✓ )and find the probability that the length of pregnancy for a randomly selected female is more than 313days.0.0 X (Round the answer to 4 decimal places)Note: If it is not possible to compute, type "DNE"2. Explain why the Central Limit Theorem cannot be usedthe sample size is small (n<30) and the distribution of the original population is unknown Consider two independent binomial experiments. In the first one, 86 trials had 51 successes. In the secondone, 83 trials had 21 successes.Find the point estimate for a 95% confidence interval. Use at least 4 decimal places.

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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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and find the probability that the length of pregnancy for a randomly selected female is more than 313 days. 0.0 x (Round the answer to 4 decimal places)