For a standardized normal distribution, calculate the probabilities below.a. P(z< 1.8)b. P(z 2 0.70)c. P(-1.28

Solution- Z is standard normal variate a) P(Z<1.8)=0.9641 Using standard normal tablet…

Answered: For a standardized normal distribution,…

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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Why is only one normal distribution table needed to find any probability under the normal curve? Choose the correct answer below. A. Any variable value can be transformed to a Z value. B. The normal distribution is discrete. C. Normal distribution tables record every single possible normal probability. D. The normal distribution is rectangular.
4 In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores fall between 80 and 90. What are the mean and standard deviation for this data?Standard Normal Curve Mean: Standard Deviation:
+ + 69 78 87 96 105 114 Based on the graph of this normal distribution, a. The mean is b. The median is c. The mode is d. The standard deviation is + 123
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.
Please answer all parts. Thank you!
The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.4 minutes. 41 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 æ? x - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 19.5378 and 20.0378 minutes. e. For the 41 runners, find the probability that their average time is between 19.5378 and 20.0378 minutes. f. Find the probability that the randomly selected 41 person team will have a total time more than 795.4. g. For part e) and f), is the assumption of normal necessary? O No Yes h. The top 20% of all 41 person team relay races will compete in the championship round. These are the 20% lowest times. What is the longest total time that a relay team can have and still make it to the championship…
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.
The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.6 minutes. 8 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( 24 2.6 b. What is the distribution of ? - N( 24 0.9192 v c. What is the distribution of ) x? ) x - N( 192 7.3539 v) o d. If one randomly selected runner is timed, find the probability that this runner's time will be between 23.7212 and 24.9212 minutes. 0.1811 e. For the 8 runners, find the probability that their average time is between 23.7212 and 24.9212 minutes. 0.4611 f. Find the probability that the randomly selected 8 person team will have a total time less than 186.4. 0.2232 g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The top 15% of all 8 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay…
2 Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of −0.85. z-score -1.00 -0.95 -0.90 -0.85 -0.80 -0.75 -0.70 Percentile 15.87 17.11 18.41 19.77 21.19 22.66 24.20 z-score -0.65 -0.60 -0.55 -0.50 -0.45 -0.40 -0.35 Percentile 25.78 27.43 29.12 30.85 32.64 34.46 36.32 z-score -0.30 -0.25 -0.20 -0.15 -0.10 -0.05 0.00 Percentile 38.21 40.13 42.07 44.04 46.02 48.01 50.00 a. The percentage of data items that lie below the z-score is ______%. b. b. above a z-score of −0.85: ________.
5 Use the table below to find the percentage of data items in a normal distribution that lie a. below and b. above a z-score of −2.1. z-score -3.0 -2.9 -2.8 -2.7 -2.6 -2.5 -2.4 -2.3 -2.2 -2.1 Percentile 0.13 0.19 0.26 0.35 0.47 0.62 0.82 1.07 1.39 1.79 z-score -2.0 -1.9 -1.8 -1.7 -1.6 -1.5 -1.4 -1.3 -1.2 -1.1 Percentile 2.28 2.87 3.59 4.46 5.48 6.68 8.08 9.68 11.51 13.57 z-score -1.0 -0.9 -0.8 -0.7 -0.6 -0.5 -0.4 -0.3 -0.2 -0.1 Percentile 15.87 18.41 21.19 24.20 27.43 30.85 34.46 38.21 42.07 46.02 a. The percentage of data items that lie below the z-score is ___%. b. The percentage of data items that lie above the z-score is ___%
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A normal distribution has a mean of 20 and a standard deviation of 1.0. Find the probabilities:a. A value that is 22 or less.b. A value that is 22 or more.

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For a standardized normal distribution, calculate the probabilities below. a. P(z< 1.8) b. P(z 2 0.70) c. P(- 1.28