Central Limit Theorem2. According to the International Graduation Association, on average,high school girls in Canada spend $\$ 223.55$ on a prom dress with astandard deviation of $\$ 18.14$. If 76 high school girls are surveyedin Canada, what is the probability that the mean cost of their dressesis between $\$ 225.00$ and $\$ 228.00$ ?3. It has been estimated that $23 \%$ of nurses are offered to workovertime on a regular basis. If we randomly selected 225 nurses, whatis the probability that $25 \%$ or less of them will be offeredovertime on a regular basis?SP.VS.717

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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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Student loan debt is the only form of consumer debt that has grown since the peak of consumer debt in 2008. The average student loan of somebody younger than 30 is
According to CTIA, 41% of all U.S. households are wireless-only households (no landline). Choose four households at random. A. What is the probability that at least two will be wireless-only? B. What is the probability that none of them will be wireless-only? C. What is the probability that least 1 of them will be wireless-only? D. Find the mean and standard deviation for the number of households that are wireless-only.
The 2012 National Survey on Drug Use and Health estimated that 25% of canadians agd 12 or over reported binge drinking in the past month. Find the odds of binge drinking
According to the U.S. Census Bureau, the mean household income in the United States in 2000 was $57,045 and the median household income was $42,148.The variability of household income is quite large with an overall standard deviation of approximately $25000. Suppose a random sample of 225 households was selected. What is the probability that the sample mean would be above $60,245?
LightCastle Partners, a Bangladeshi business management consultant, employs a large number of data analysts to analyze the data in a survey project. The time it takes for new data analysts to learn the analysis procedure is known to have a normal distribution with a mean of 99 minutes and a standard deviation of 14 minutes. a. What is the probability that the new data analysts will take more than 103 minutes to learn the analysis procedure? b. What is the probability that the new data analysts will take between 65 to 134 minutes to learn the analysis procedure? c. To maintain employee standars, LightCastle does not hire any analyst who fails to learn the process within a specified time. Therefore, what should be the specified time limit if they wish to retain at most 91.24% of new analysts?
Georgia residents spent an average of $470 on the lottery in 2010, or 1% of their personal income (www.msn.com, May 23, 2012). Suppose the amount spent on the lottery follows a normal distribution with a standard deviation of $50. If five Georgians are randomly selected, what is the probability that the average amount spent on the lottery was more than $500? (Round your answer to three decimal places.)
Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,800 houses. The subdivision was built in 1983. A sample of 110 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $229,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $231,000? Appendix A Statistical Tables (Round the values of z to 2 decimal places, e.g. 15.25. Round your answer to 4 decimal places, e.g. 0.2513.)enter probability rounded to 4 decimal places
2. An article suggests a normal distribution with mean 130.8 oz and standard deviation 3.05 oz for the actual contents of jars of a certain type. The stated contents was 133 oz. a. What is the probability that a single jar contains less than the stated contents? b. Among eight randomly selected jars, what is the probability that the mean contents will be more than the stated contents? c. If twelve randomly selected jars are considered, what percent of mean content amounts will be less than 132.4 oz?
4. A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken. a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation? b. What is the distribution for the mean weight of 100 25-pound lifting weights? c. Find the probability that the mean actual weight for the 100 weights is less than 24.9. 1 I
b. What is the median giraffe height? ft. c. What is the Z-score for a giraffe that is 19 foot talL? d. What is the probability that a randomly selected giraffe will be shorter than 18.7 feet tall? e. What is the probability that a randomly selected giraffe will be between 19 and 19.8 feet tall? f. The 85th percentile for the height of giraffes is ft.

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