A random variable is normally distributed with a mean of 90 and a standard deviation of a = 5.(a) The following figure shows that the normal curve almost touches the horizontal axis at three standard deviations below andat three standard deviations above the mean (in this case at 75 and 105).Areas Under the Curve for any Normal Distribution99.7%95.4%68.3%ORμ-3080Sketch a normal curve for the probability density function. Label the horizontal axis with values of 75, 80, 85, 90, 95, 100,and 105.2012A-lo # μ+1095 105 100 90 80# +30μ + 2090 100 105 95 85 756105 100 957580 8590880 7595 100 105(b) What is the probability the random variable will assume a value between 80 and 100? (Round your answer to three decimalplaces.)(c) What is the probability the random variable will assume a value between 75 and 105? (Round your answer to three decimalplaces.)

From given mean μ=90 standard deviation σ=5

Answered: A random variable is normally…

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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Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4 . A sample of 37 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 6 0 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 45% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one) 10 and =n−1p ▼(Choose one) 10 .
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SAT math scores are normally distributed with the parameters below. μ=500σ=100 What is the probability a randomly selected score is less than 580 points What score separates the highest 15% of scores from the rest?
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