According to AC Lens, green eye color is one of the rarest with only 2% of the world's population having thateye color. A random sample of 1000 people from around the world are selected. Let p be the proportion ofthe sample which has green eyes.1. What is the mean of the sampling proportion?2. What is the standard deviation of the sampling proportion?(Round to the nearestthousandth.)3. Find the probability that p will be between 0.01 and 0.03. P(0.01 < p < 0.03) =4. What is the rule of thumb for normalizing the sampling distribution of proportions?

Let p be the population proportion of people with green eyes. Given that p = 2% = 0.02 Given that,…

Answered: 1. What is the mean of the sampling…

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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the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?
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BA variable of a population has a mean of = 100 and a standard deviation of o = 49. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean and standard deviation b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. Normal distribution. B. Uniform distribution. C. No assumption was made. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. No, the sampling distribution of the sample mean is never normal for sample size less than 30. B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true. C. Yes, the sampling distribution of the sample mean is always normal.
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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.

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1. What is the mean of the sampling proportion? 2. What is the standard deviation of the sampling proportion? (Round to the nearest thousandth.) 3. Find the probability that p will be between 0.01 and 0.03. P(0.01 < p < 0.03) =