Let x be a hypergeometric random variable with N = 12, n = 3, and M = 5.Use the formulas given below to calculate μ=0²μ = n0²= nMN(^~^) (~~~M NNM- n(^~^)(N=7)1E(x) and ². (Round your answer for ² to five decimal places.)

N=12n=3M=5X be a hypergeometric random variable P(X=x)=

Answered: Let x be a hypergeometric random…

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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Having obtained a random sample from a population, you want to use a χ-squared test for determine whether the population distribution is standard normal. If you base the test on six class intervals that have equal probability, the second interval has the form (−.96743, b), in the next space write the value of b. Answer for part 1 b) If you want to use a χ-square test to prove H0: the population distribution is normal with μ = 0.5, σ = 0.002 and the test must be based on six class intervals Equally probable, the second interval has the form (0.4980652, b), in the next space write the value of b. Answer for part 2 c) Assuming that χ2 = 8.11 and α = 0.10 choose the correct option:
Time left 0:08:09 On average, a milk packaging machine fills milk into 1000 milliliter-packages. Sometimes, the machine makes errors with an estimated variance of 400. What is the z-score for a randomly selected milk package that measured 910 milliliters? [Give your answer correct to 1 decimal place] Answer: Next page
pter Question 3, 7.2.7 > Find the critical value za/2 that corresponds to a= 0.08. ... Za/2= (Round to two decimal places as needed.)
Derive the MGF for an exponential random variable X - exp(A) (try the Kernel trick!) O eta O el(e'–1) t - X
18
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A model for normal human body temperature, X, when measured orally in °F, is that it is normally distributed, X ~ N (98.2,0.5184). (i) According to the model, what proportion of people have a normal body temperature of 99 °F or more? (ii) Find the normal body temperature such that, according to the model, only 10% of people have a lower normal body temperature. (iii) Let W denote normal human body temperature, when measured orally in °C. Given that W = (X - 32) and X ~ N(98.2,0.5184), what is the distribution of W? (iv) According to the model that you just derived for W, what proportion of people have a normal body temperature of between 36 °C and 36.8 °C?
Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
7/8/22, 3:04 PM Area z TABLE V z 78877 99737 77238 23927 328797 97979 777738=283 09898 30003 99999 33233 38539 22 -3.4 -2.5 -0.5 0.0010 0.0013 .00 .01 .02 .06 .07 .08 .09 0.0007 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084…
QUESTION 2 Given the probability density function f(x)=(0.02^9 x^8*e^(-0.02x))/8! for x>0 and f(x)=0 otherwise. Determine the mean and variance of the distribution. Round the answers to the nearest integer. a) the mean b) The variance
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Let x be a hypergeometric random variable with N = 12, n = 3, and M = 5. Use the formulas given below to calculate μ = E(x) and ². (Round your answer for ² to five decimal places.) n (M) N % I μl = n N-MY o² = n (M) (^~^) (N = 7) N N -