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...

See similar textbooks

Similar questions

the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?
The age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and 5.95 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is 5.45 b. The standard deviation is 0.2945 c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.35 and 5.55 years old is e. If such a child is at the 46th percentile, how old is that child? years old.
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.
4 A variable of a population has a mean of μ=81 and a standard deviation of σ=7. What is the mean of the sampling distribution? (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.)
Angela recently discovered that the proportion of cat owners in Scranton, Pennsylvania, is 0.27. Suppose Angela were to select a random sample of n = 200 Scranton residents and determine the proportion within the sample who are cat owners. If this sampling process is repeated many times, we can build a sampling distribution. We know in this case the sampling distribution will be Normal in shape and will have a standard deviation equal to approximately ___________. Group of answer choices 0.0277 0.0175 0.0444 0.0314 0.0022
Majesty Video Production Inc. wants the mean length of its advertisements to be 30 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 16 ads produced by Majesty. f. What is the probability that the sampling error would be less than -1.5 or more than 1.5? (Round your answer to 4 decimal places.) Answer is complete but not entirely correct. Probability 0.27 8 %
Qus
The average number of words in a romance novel is 64,177 and the standard deviation is 17,405. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(____, ______)b. Find the proportion of all novels that are between 48,512 and 60,696 words. _________?c. The 95th percentile for novels is words. (Round to the nearest word)_________?d. The middle 60% of romance novels have from______ words to ______words. (Round to the nearest word)
The age of children in kindergarten on the first day of school is uniformly distributed between 4.91 and 5.97 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 101 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person's IQ is over 101. Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places. d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. Q1: Q3: IQR:
← The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 218.90 cm. b. Find the probability that the mean for 15 randomly selected distances is greater than 203.30 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) F7 View an example Get more help - 7 F8 U F9 * 8 S 4 T DELL F10 -!!!/ ( 9 O F11 ) O F12 P Clear all PrtScr 13 { [ + 11 = Check answer 86°F Mostly sunny Insert Delete Backspace 1 2 S Inco P Ca PgUp Num Lock
42

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

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) =