4. Nine probability density graphs of a random variable are given. Select the correctstatements:4.1.2.3.6.☐ Random variable described in No. 1 is bimodal.9.im☐ Random variable described in No. 1 is normally distributed.Random variable described in No. 2 is symmetric.ㅁㅁRandom variable described in No. 6 is uniformly distributed.Random variable described in No. 2 is positively skewed.5. Determine which measures are measures of central tendency

Statement 1 is true because from the plot 1, there are two peaks. So the distribution has two modes.…

Answered: 4. Nine probability density graphs of a…

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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3. 3c. A. B. Women have head circumferences that are normally distributed with a mean of 23.55 inches and a standard deviation of 0.93 inches. If the HATS BY CHARLIE company produced hats so that they fit head circumferences between 22.2 inches and 24.2 inches, then what is the probability that a woman can fit into these hats? A. If the HATS BY CHARLIE company produced hats so that they fit head circumferences between 22.2 inches and 24.2 inches, then what is the probability that a randomly selected group of 40 woman can fit into these hats? B. Write a sentence or two that explains your answer to 3B and why you think that answer is correct in connection to your answer in 3A.
7. The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. Let = average percent of fat calories. For the group of 16, find the probability that the average percent of fat calories consumed is more than five. Sketch the associated graph/figure. Find the first quartile for the average percent of fat calories.
The mean weight of a fire ant worker is 3.11 mg with a standard deviation of .49 mg. Suppose we randomly select 14 different fire ant workers having weights F1, F2, , F14. Let S = F1 + F2 + ...+F14 and let M = S/14. This means S is the sample sum and M is the sample mean of the selected ant weights. (Note: random selection means F1 F14 are independent.). Assume the Fis are normally distributed. j) What is the expected value of M - 3.11 ? k) What is the standard deviation of [(M - 3.11)/49]/srt14
Suppose that the distribution of weights of New Zealand ham- sters is distributed normally with a mean of 63.5 grams and a standard deviation of 12.2 grams. 1. How would you characterize the smallest and the largest 5% of all weights? 2. If there are 1000 hamsters in the population, how many weigh at least 78 grams? 3. If 3 hamsters are selected at random, what is the probability that all of them weigh more than 65 grams?
1. A population has the numbers 2, 4, 6, 8, 10, 12. Then two samples are taken at random and without replacement. If it is known µ-7. Find: a. Population variance (0²) b. The mean standard deviation of the sample (ox²)
5.1.7 Five males with an X-linked genetio disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. PO O 0.033 0.157 2 0310 3. 0.310 4. 0.157 0.033 Does the table show a probabilty distribution? Select all that apply A. Yes, the table shows a probability distribution. B. No, not every probab tyis between 0 and 1.inclusive. No, the random variable Xs numbervalues are not 355ociated with probablities No. the random varable xis categorcalinstead of numerical. No the sum of all the probablities is not equaltto 1. Cick to select your answerS) and tren cexCheckAnSwer
47.
3. The thickness of a road is nommally distribuned with standard deviation 5.8 cm. A random sample of 15 roads were taken If the probability that the sample mean road thickness is at least 10.2 cm is K2, whut is the average thickness of all the roads
1.A personnel manager is employed in a corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews. (a) Sketch the graph.(b) Give the 95th Percentile. (Round your answer to two decimal places.)
6.3.10 Question Help Three randomly selected households are surveyed. The numbers of people in the households are 2, 7, and 12. Assume that samples of size n 2 are randomly selected with replacement from the population of 2, 7, and 12. Construct a probability distribution table that describes the sampling distribution of the proportion of even numbers when samples of sizes n 2 are randomly selected. Does the mean of the sample proportions equal the proportion of even numbers in the population? Do the sample proportions target the value of the population proportion? Does the sample proportion make a good estimator of the population proportion? Listed below are the nine possible samples. 2,2 2,7 2,12 7,2 7,7 7,12 12,2 12,7 12,12 Construct the probability distribution table. Sample Proportion Probability Type an integer or fraction.) Enter your answer in the edit fields and then click Check Answer. parts remaining Clear All Check Answer Activate Windows
3. Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.Find the 95th percentile for the mean time to complete one month's reviews.
11. For a distribution with 16 degrees of freedom, find the area, or probability, in each region a. To the right of 2.120 To the left of 1.337 b. To the left of -1.746 To the right of 2.583 Between -2.120 and 2.120 Between 1.746 and 1.746 c. d. e. f.

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