According to a recent poll, 26% of adults in a certain area have high levels of cholesterol. They report that such elevated levels "could be financially devastating to theregions healthcare system" and are a major concern to health insurance providers. Assume the standard deviation from the recent studies is accurate and known.According to recent studies, cholesterol levels in healthy adults from the area average about 206 mg/dL, with a standard deviation of about 35 mg/dL, and are roughlyNormally distributed. If the cholesterol levels of a sample of 40 healthy adults from the region is taken, answer parts (a) through (d).(a) What is the probability that the mean cholesterol level of the sample will be no more than 206?P(y≤206) .500 (Round to three decimal places as needed.)(b) What is the probability that the mean cholesterol level of the sample will be between 201 and 211?P(201

Here given , sample size n = 40 population mean = 206 population standard deviation = 35

Answered: (a) What is the probability 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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Find the probability of z greater than 0.5 if mean is 0 and standard deviation is 1.
Alex's home run hitting distance is normally distributed with a mean of 410 feet and a standard deviation of 29 feet. He wanted to find the probability that his home runs traveled at least 375 feet. He calculated the z-score to be −1.21 and looked up the probability on the Standard Normal Probabilities table. He found that the table stated his probability as 0.1131. Determine whether Alex made an error in his calculation and explain.
Students are usually tested on various subjects to determine the level of intelligence. In an intelligence examination administered to 2,000 students of the MBA programmes, the average score recorded by the lecturer was 42 and deviation of the scores from their mean was 24. Assuming that the distribution of scores is normal, find: The number of students whose score exceeds 50 The number of students whose score is between 30 and 54 inclusive. The score corresponding to the standardized normal value of 2 What is the probability of a score which is less than 70? How many student would have a score of at least 66?
A2. Suppose that you have a sample of n = 100 values from a normal population with mean µ = 500 and with standard deviation o = 80. (a) What is the probability that the sample mean will be in the interval (490, 510)? (b) Give an interval that covers the middle 95% of the distribution of the sample mean.
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For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 505 and a standard deviation of 170. The grading process of this year's exam has just begun. The mean score of the 40 exams graded so far is 528. What is the probability that a sample of 40 exams will have a mean score of 528 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. 0 X Ś
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