are distributed which depends on two factors - the mean and the standard deviation.1A continuous probability density function that describes how the values of a variableNormal Distributionb. Symmetric DistributionMeand.Bell CurveC.2. The standard normal distribution is a normal distribution with mean and astandard deviation of,and 1, respectively1 and 0, respectivelyb.С.Both 0d.Both 13. Which of the following is NOT true about the normal distributionathe curve is asymmetricalb.Meanthe distribution is symmetrical about the vertical line drawn from the peak of the curvethe measure of central tendency (mean, median, and mode) are equal in valueС.d.4. The area under the normal curve between u - 3.50 and u + 1.00 is,d.0.3413none of thesea0.4989b.0.1576С.5. If u = 5000 and o = 50, the z-value of x = 5025 is1.00.5%3Dd.a-0.5b.-1.0С.

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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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CX K Assume that women's heights are normally distributed with a mean given by μ = 62.6 in, and a standard deviation given by a = 2.4 in. (a) If 1 woman is randomly selected, find the probability that her height is less than 63 in. (b) If 42 women are randomly selected, find the probability that they have a mean height less than 63 in. View an example @ 2 F2 W S (a) The probability is approximately. (Round to four decimal places as needed.) X H mand # 3 Ask my instructor 80 F3 E D C $ 4 a F4 R F 07 dº V T G 6 MacBook Air B FO Y H & 7 F7 Ⓒ U N * 8 31 F8 1 M ( 9 K F9 O < I H ) O L F10 P command Clear all . V - ... I F11 { + [ = Check ans ? option 11 Show A F12 }
Practice Exercise Determine if the random variable X or Y is discrete or continuous. 1. X = number of points scored in the last season by a randomly selected basketball player in the PBA 2. Y = the height in centimeter of a randomly selected student inside the library 3. X = number of birds in a nest 4. Y = the weights in kg of randomly selected dancers after taking up aerobics 5. Z = the hourly temperatures last Sunday
t- distribution is a probability distribution used to estimate parameters EXCEPT when: a. The population standard deviation is known b. The sample size is small c. The population variance is unknown d. The sample size is small and population variance is unknown
K Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 79 beats per minute. The probability is (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 79 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. OC. Since the distribution is of sample means, not…
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C Arandom variable is normally distributed with a mean of μ-50 and a standard deviation ofto=5 a. Which of the following graphs accurately represents the probability density function? A B 40 50 55 σ=5 60 d=5
Given the random variable X and its probability density function below, find the mean, variance, and standard deviation of X. X Pr(X) 0 0.3 3 0.7 Mean = Variance = Standard Deviation =
K A population has a mean μ = 134 and a standard deviation o = 26. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 59. σ- The mean is μ- =, and the standard deviation is o- = (Round to three decimal places as needed.) X Z-
SAT math scores are normally distributed with the parameters below. μ=500σ=100μ=500σ=100 What is the probability a randomly selected score is more than 460 points ["", "", "", "", ""] What score separates the lowest 20% of scores from the rest?
Given the random variable X and its probability density function below find the standard deviation of X. Pr(X) 0.1 0.9 3.

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