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If X ~ N(?, ?2) is a normal variable, what are the expected values of X,...
X is a Discrete Random Variable that can take five values Given The five possible values...
X is a Discrete Random Variable that can take five values Given The five possible values are: x1 = 4 (Units not given) X2 = 6 (Units not given) X3 = 9 (Units not given) X4 = 12 (Units not given) X5 = 15 (Units not given) The associated probabilities are: p(x1) = 0.14 (Unitless) p(x2) = 0.11 (Unitless) p(x3) = 0.10 (Unitless) p(xx) = 0.25 (Unitless) Question(s) 1. If the five values are collectively exhaustive, what is p(x5)? (Unitless)...
section 16 probability distributions and expected values activity Section 16 Probability Distributions and Expected Values Activity...
section 16 probability distributions and expected values
activity
Section 16 Probability Distributions and Expected Values Activity 2 The following are probability distributions for variable x. Answer the given questions for each: 1. Z less than 4.W {(x) 0.1 0.1 0.2 02 20 a) P(x = 9) b) P(x = 20) c) P( x3) d) The mean for variable x e) The Standard deviation for variable x 120
JS: QUESTION 1 A company must invest in project 1 in order to invest in project...
JS: QUESTION 1 A company must invest in project 1 in order to invest in project 2. Which of the following constraints ensures that project 1 will be chosen if project 2 is invested in? a. X1 - X2 is greater than or equal to 0 b.X1 - X2 is less than or equal to 0 c. X1 + X2 is equal to 1 d. X1 + X2 is equal to 0 QUESTION 2 A company wants to select no...
QUESTION 15 Let X be a nonnegative random variable (the possible values of X are all...
QUESTION 15 Let X be a nonnegative random variable (the possible values of X are all nonnegative numbers), and suppose E( X ) = 1, then, the probability that X takes a value greater than 5, cannot be A. larger than 0.1. B. larger than 0.2. C. less than 0.2. D. none of the above. QUESTION 16 Let X be any random variable, and E( X ) = 2, then, the probability that X takes a value greater than 10, cannot...
The table to the right contains observed values and expected values in parentheses for two categorical...
The table to the right contains observed values and expected
values in parentheses for two categorical variables, X and Y, where
variable X has three categories and variable Y has two
categories.
(a) Compute the value of the chi-square test statistic (Do not round until the final answer Then round to three decimal places as needed) (b)Test the hypothesis that X and Y are independent at the α-005 level of significanc O A. No, do not reject Ho ? is...
Suppose X is a Normal random variable with with expected value 16 and standard deviation 1.05....
Suppose X is a Normal random variable with with expected value 16 and standard deviation 1.05. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X>16.4) b) Find the probability P(X >16.4) when n 9 c) Find the probability P(X>16.4) when n = 36| d) What is the probability P(15.6 <X <16.4) when n 36? e) What is the standard...
3.1 There is a random variable X with observations {X1,X2, ..., Xn). It is known that...
3.1 There is a random variable X with observations {X1,X2, ..., Xn). It is known that these observations follow the normal distribution with mean μ and variance σ2. Which of the following will lead to a standard normal distribution? (a) (X-A)/o (b) (X- )/a2 (c) (X + μ)/o2 (d) (X + μ)/σ 3.2 In standard normal distribution, 99.7% of observations lie in the range between 3.3 A cumulative distribution function of a random variable Xis by definition a probability that...
4 persons each have playing cards, with person 1 having X1 cards, person 2 having X2...
4 persons each have playing cards, with person 1 having X1 cards, person 2 having X2 cards, person three having X3 cards and person 4 having X4 cards. The random variables of X1, X2, X3 and X4 are all independent and normally distributed with mean = 100 and SD = 24. 1) If Y = X1+X2+X3+X4 (all the cards of alle the persons), what is then E(Y)? What is Var(Y)? 2) Denoting A as the average no. of cards per...
Please help me to solve this probability problem. 2. Consider a random variable X with the...
Please help me to solve this probability problem.
2. Consider a random variable X with the following PDF f(x) f(x) = for 0s x<1 x, 2-x for 1s XS2 otherwise (a) Consider 6 independent random variables X, X2, X3, X4, X5, Xs with the PDF f(x) given above. What will be the PDF of Y= (X1+X2+ X3+ X4+ Xs* X6) approximately? Explain it. (b) Compute the probability of Y>8.
For Questions 1-4, let the random variable X follow a Normal distribution with mean u =...
For Questions 1-4, let the random variable X follow a Normal distribution with mean u = 200 variance 62 = 625. Q1. A random sample of n = 50 is obtained. What are the mean and variance of the sample mean, X-Bar? a. Mean ==> b. Variance ==> Q2. What is the probability that X-Bar is greater than 204? a. What is Z-Score for X-Bar greater than 204 ==> b. P[Z> Z-Score] ==> Q3. What is the probability that X-Bar...
X is a Discrete Random Variable that can take five values Given The five possible values are: x1 = 4 (Units not given) X2 = 6 (Units not given) X3 = 9 (Units not given) X4 = 12 (Units not given) X5 = 15 (Units not given) The associated probabilities are: p(x1) = 0.14 (Unitless) p(x2) = 0.11 (Unitless) p(x3) = 0.10 (Unitless) p(xx) = 0.25 (Unitless) Question(s) 1. If the five values are collectively exhaustive, what is p(x5)? (Unitless)...
section 16 probability distributions and expected values
activity
Section 16 Probability Distributions and Expected Values Activity 2 The following are probability distributions for variable x. Answer the given questions for each: 1. Z less than 4.W {(x) 0.1 0.1 0.2 02 20 a) P(x = 9) b) P(x = 20) c) P( x3) d) The mean for variable x e) The Standard deviation for variable x 120
JS: QUESTION 1 A company must invest in project 1 in order to invest in project 2. Which of the following constraints ensures that project 1 will be chosen if project 2 is invested in? a. X1 - X2 is greater than or equal to 0 b.X1 - X2 is less than or equal to 0 c. X1 + X2 is equal to 1 d. X1 + X2 is equal to 0 QUESTION 2 A company wants to select no...
The table to the right contains observed values and expected
values in parentheses for two categorical variables, X and Y, where
variable X has three categories and variable Y has two
categories.
(a) Compute the value of the chi-square test statistic (Do not round until the final answer Then round to three decimal places as needed) (b)Test the hypothesis that X and Y are independent at the α-005 level of significanc O A. No, do not reject Ho ? is...
Suppose X is a Normal random variable with with expected value 16 and standard deviation 1.05. We take a random sample of size n from the distribution of X. Let X be the sample mean. Use R to determine the following: a) Find the probability P(X>16.4) b) Find the probability P(X >16.4) when n 9 c) Find the probability P(X>16.4) when n = 36| d) What is the probability P(15.6 <X <16.4) when n 36? e) What is the standard...
3.1 There is a random variable X with observations {X1,X2, ..., Xn). It is known that these observations follow the normal distribution with mean μ and variance σ2. Which of the following will lead to a standard normal distribution? (a) (X-A)/o (b) (X- )/a2 (c) (X + μ)/o2 (d) (X + μ)/σ 3.2 In standard normal distribution, 99.7% of observations lie in the range between 3.3 A cumulative distribution function of a random variable Xis by definition a probability that...
Please help me to solve this probability problem.
2. Consider a random variable X with the following PDF f(x) f(x) = for 0s x<1 x, 2-x for 1s XS2 otherwise (a) Consider 6 independent random variables X, X2, X3, X4, X5, Xs with the PDF f(x) given above. What will be the PDF of Y= (X1+X2+ X3+ X4+ Xs* X6) approximately? Explain it. (b) Compute the probability of Y>8.
For Questions 1-4, let the random variable X follow a Normal distribution with mean u = 200 variance 62 = 625. Q1. A random sample of n = 50 is obtained. What are the mean and variance of the sample mean, X-Bar? a. Mean ==> b. Variance ==> Q2. What is the probability that X-Bar is greater than 204? a. What is Z-Score for X-Bar greater than 204 ==> b. P[Z> Z-Score] ==> Q3. What is the probability that X-Bar...
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