Draw a graph for the standard normal distribution. Label the horizontal axis at values of -3, -2,-1, 0, 1, 2, and 3. Then use the table of probabilities for the standard normal distribufollowing probabilities. (Round your answers to four decimal places.)(a) P(0 ≤2≤11)(b) P(0 <2<1.6)(c) P(0 <2<22)(d) (0<2<27)

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Answered: Draw a graph for the standard normal…

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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Assume that adults have IQ scores that are normally distributed with a mean of μ=100 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 88 and 112. The probability that a randomly selected adult has an IQ between 88 and 112 is ________.
Find the indicated probability using the standard normal distribution. P(- 2.45<z <0)
A collection of medical scores is Normal with Mean of 50 and Standard Deviation of 10; that is N(50, 10). Bertha’s score is 47.56 and Biff’s score is 56.82. What is the probability that a randomly selected score will be greater that Bertha’s and less than Biff’s? Your answer should be correct to 4 places after the decimal point. ________________
Find the indicated probability using the standard normal distribution. P(-0.93
The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.7 minutes. 16 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X N( b. What is the distribution of a? ¤ - N( c. What is the distribution of) x? ) x - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 23.1875 and 23.9875 minutes.
Solution: Since we are finding a z-score, we are dealing with the standard normal curve, so the mean is 0 and the standard deviation is 1. Now, to use the MINITAB procedure, we must know the area to the lefty Since the area to the right of the z-score is 0.68, the area to the left is given by 1-0.68 0.32. Input the following to MINITAB: Nd D n Op Out Co Discussion Topics: 1. Copy and paste the inverse cumulative distribution function figure. 2. What is the z-score that has an area of 0.68 to its right?
Private nonprofit four-year colleges charge, on average, $26,796 per year in tuition and fees. The standard deviation is $6,782. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 26796 6782 b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 31,080 per year. Enter an integer or decimal number, accurate to at least 4 decimnal places [more..] c. Find the 75th percentile for this distribution. $ (Round to the nearest dollar.)
The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with o = $5100. Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places.
R3
Find the probability using the standard normal distribution. P (- 1.57 < z < 0)
(a) The graph shows a Standard Normal Distribution. You are given 1 or 2 z-score(s) and need to shade the area (=probability) corresponding to: P(z > 1.2). Click on the "Shade" menu to select the shading option corresponding to the question [to the left, to the right, or between 2 values]. Then slide the arrow to the appropriate z-score. Shade: Left of a value Click and drag the arrows to adjust the values. -4 -3 -2 -1 2 4 -1.5 (b) Part 2: you are given an area (=probability), and you need to compute c, which is the z-score that corresponds to the statement: P( - c < z < c) (This is an inverse standard normal distribution problem. Use technology to compute c) The arrow can only be dragged to tick marks that are multiples of 0.1 So, round c to 1 decimal place, and then move the arrow to that rounded value. Click on the "Shade" menu to select the shading option corresponding to the question [to the left, to the right, or between 2 values]. (If the question is less c, choose Left of a…

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