6) A set of data has a normal distribution with a mean of 50 and a standard deviation of 10. Find the percent of datawithin each interval.a) from 50 to 60b) less than 30c) NOT between 40 and 50

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Answered: 6) A set of data has a normal…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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for normal distribution mean is 50 liter per hour and standard deviation is 10 liter per hours . find the 68%,95%and 99.7% values by using emperical graph explain graph with all values
2. A statistic test has a mean of 78 and a standard deviation of 6. a) What is the z-score of a student who scored 89 on the test? b) What is the z-score of a student who scored 64 on the test? c) What is the z-score of a student who scored 78 on the test? d) What is the score of a student whose z-score is 1.24? e) What is the score of a student whose z-score is -.31? f) What is the score of a student whose z-score is -1? 3. For males in a certain towWn, the systolic blood pressure is normally distributed with a mean of 135 and a standard deviation of 8. a) What is the probability that a randomly selected male's systolic blood pressure will be greater than 143? b) What is the probability that a randomly selected male's systolic blood pressure will be less than 119?
The annual per capita use of apples (in pounds) in the United States can be approximated by a normal distribution with a mean of 19.2 pounds and a standard deviation of 4 pounds. A) What annual per capita consumption represents the 10th percentile? B) What percentage of people in the United States consume more than 22 pounds of apples annually?
The length of time to discharge a certain Motolite car batteries are normally distributed. It is found that fifteen percent of batteries will last less than thirty hours and ten percent of batteries last more than fifty hours. a) Find the mean of the length of time to discharge the battery. b) Find the standard deviation of the length of time to discharge the battery.
Assume that a normal distribution of data has a mean of 24 and a standard deviation of 5.Use the empirical rule to find the percentage of values that lie below 9.
8) Scores on an exam have a normal distribution with a mean of 125 and a standard deviation of 19. Be sure to draw the normal distribution and shade the are being found. a) Find the probability that a person would score above 129 b) Find the probability that a person would score between 123 and 151. c) Find the probability that a group of 7 people would have a mean score above 130. d) Find the score needed to be in the top 10% of the class.
Scores on the wechsler adult intelligence scale for the 20-to-34 age group are approximately normally distributed with a mean of 110 and a standard deviation of 25 1.) sketch a picture of the distribution and label the scale 2.) Between what two scores do the middle 95% of all people between the ages of 20 and 34 fall within 3.) How high must a person score to be in the top 15% of all scores
the driving distances (miles) to wor of 30 people are shown below. assume the population standard deviation is 8 miles. Find: 12, 9, 7, 3, 27, 21, 2, 30, 7, 4, 1, 10, 2, 9, 2, 28, 7, 10, 13, 6, 13, 7, 3, 13, 6, 6, 3, 13 ,12, 16, 18 a) the point estimate of the population mean b) the margin of error for a 95% confidence interval c) contruct a 95% confidence interval for the population mean.
A credit score measures a person's creditworthiness. Assume the average credit score for Americans is 693. Assume the scores are normally distributed with a standard deviation of 45. a) Determine the interval of credit scores that are one standard deviation around the mean. b) Determine the interval of credit scores that are two standard deviations around the mean. c) Determine the interval of credit scores that are three standard deviations around the mean. a) The interval of credit scores that are one standard deviation around the mean ranges from (Type integers or decimals. Use ascending order.) b) The interval of credit scores that are two standard deviations around the mean ranges from (Type integers or decimals. Use ascending order.) c) The interval of credit scores that are three standard deviations around the mean ranges from (Type integers or decimals. Use ascending order.) to to to W
A quantity measured 50 times results in a mean x=23.345 +/- 0.0022 What is the standard deviation? What number of measurements will cut the standard deviation of the mean half? If a 100 measurement are taken, what is the new standard deviation?
The lengths in minutes of feature films for the current year follow a normal distribution with a mean of 109 minutes and a standard deviation of 12 minutes. What percentage of feature films in the current year last between 90 minutes and 111 minutes? A) 44.29% В 51.04% C) 56.75% D) 37.54%
A normal distribution of scores has a standard deviation of 10 and a mean of 0. Find the z-scores corresponding to each of the following values: a) A score that is 20 points above the mean. b) A score that is 10 points below the mean. c) A score that is 15 points above the mean d) A score that is 30 points below the mean. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. Convert Einstein’s IQ score to a z score.

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6) A set of data has a normal distribution with a mean of 50 and a standard deviation of 10. Find the percent of data within each interval. a) from 50 to 60 b) less than 30 c) NOT between 40 and 50