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Problem 2. Let X be a random variable with one of the...
Please answer from b-d as priority! Problem 2. Let X be a random variable with one...
Please answer from b-d as
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Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1.2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 F 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 (3 pts) Write down the probability mass function and What is the PMF of...
Let X be a discrete random variable with the following pmf 0.1 for I = 0.2...
Let X be a discrete random variable with the following pmf 0.1 for I = 0.2 0.2 for x = 0.4 0.2 for x = 0.5 P(X = x) = 0.3 for x = 0.8 0.2 for x = 1 0 otherwise Note: Write your final answers as decimals Find the following a) P(0.25 < X < 0.75) = b) P(X = 0.2|X<0.6) c) E(2X+1) =
. The average monthly rainfall (AMR) in inches is a random variable with the cumulative distribution...
. The average monthly rainfall (AMR) in inches is a random
variable with the cumulative distribution function (cdf):\
a. Determine the probability that the AMR is less than 1.5
inches.
b. Determine the probability the AMR is between 1.5 and 2
inches.
c. What is the median AMR? d. Determine the equation describing
the probability density function (pdf), f(x)
4 F(x) = .16, otherwise 1.2 1.0 0.8 0.4 0.2 0.0 97.5 98 98.5 99.5 100 100.5
Let the random variable X be a random number with the uniform density curve in the...
Let the random variable X be a random number with the uniform density curve in the figure below. Area = 0.4 Area = 0.5 Area = 0.2 Height = 1 0.3 0.7 0.5 0.8 P(X<0.5 or X > 0.8) P(0.3<X<0.7) (a) (b) Find the following probabilities. P(X 2 0.35) (a) (b) P(X = 0.35) P(0.35 < X < 1.25) (c) P(0.10 < X < 0.20 or 0.6 < X < 0.9) (d) X is not in the interval 0.5 to...
Problem 4 Let X and y be independent Poisson(A) and Poisson(A2) random variables, respectively. i. Write...
Problem 4 Let X and y be independent Poisson(A) and Poisson(A2) random variables, respectively. i. Write an expression for the PMF of Z -X + Y. i.e.. pz[n] for all possible n. ii. Write an expression for the conditional PMF of X given that Z-n, i.e.. pxjz[kn for all possible k. Which random variable has the same PMF, i.e., is this PMF that of a Bernoulli, binomial, Poisson, geometric, or uniform random variable (which assumes all possible values with equal...
+0.5/1 points Previous AnswersSCalcCC4 7.2.001 2, 9x cos(Ty) is shown A direction field for the differential...
+0.5/1 points Previous AnswersSCalcCC4 7.2.001 2, 9x cos(Ty) is shown A direction field for the differential equation y y 2.0 1.5 1.0 0.5 0.4 -0.6 -0.4 -0.2 0.0 0.2 0.6 (a) Sketch the graphs of the solutions that satisfy the given initial conditions. (i) y(0) 0 (iii y(0) 1 (ii) y(0) 0.5 (iv) y(0) 1.6 V y 2:0 1.5 1.5 .5 X -0.6 O-0.6 -0.2 -0.4 0.6 -0.4 0.0 0.2 0.4 0.6 -0.2 0.0 0.2 0.4 2.0r 1.5 1.5 0.5...
Let X denote the amount of space occupied by an article placed in a 1-ft packing...
Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. 56x6(1 - x) 0 x 1 f(x) = otherwise Obtain the cdf of X. 0 0 > X F(x) 0 s x s 1 1 x > 1 Graph the cdf of X F(x) F(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 1.0 0.8 0.6 0.4 0.2 1.0 0.8 0,6 0.4 0.2 F(x F(x)...
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used...
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-102-x) 1sxs2 ; otherwise (0) (ii) (ii) Determine the value of c. Obtain cumulative distribution function Find P(X < 1.2). Consider the following cumulative distribution function for X. 06 0.8 1.0 Fx) 0.9 (i) Determine the probability distribution. (ii) Find P(X 1). (ii) Find P(OX5) Question 3 Consider the following pdf otherwise (i) (ii)...
0.2e ( poimt Given the M randmvariable X is MO). t0Provide the name of the distribution...
0.2e ( poimt Given the M randmvariable X is MO). t0Provide the name of the distribution of X, as well as its provide the name of the distrbon of X, as well as is parameters Select all that apply. There may be more than one correct answer. A. negative binomial (n 1,p 0.2) OC. geometric(p 0.8) B. geometriclp 0.2) D. negative binomial(n-1, p-0.8) E. binomial(n-1,p-0.2) - F. binomial(n-1, p-0.8) G. bernoulli(p 0.2) H. bernoulli(p 0.8) I. None of the above
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used...
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-1(2-xsxs2 ; otherwise f(x) (i) Determine the value of c ii) Obtain cumulative distribution function (iii) Find P(X<1.2). Question 2 Consider the following cumulative distribution function for X 0.3 0.6 0.8 0.9 1.0 (i) Determine the probability distribution. ii) Find P(X<1). iii Find P(O <Xs5). Consider the following pdf ,f(x) = 2k ; 1<x<2...
Please answer from b-d as
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Problem 2. Let X be a random variable with one of the following cumulative distribution function. 1.2 1.2 1.0 1.0 0.8 0.8 0.6 0.6 0.4 F 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 0.0 0.5 1.0 1.5 2.0 X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 (3 pts) Write down the probability mass function and What is the PMF of...
Let X be a discrete random variable with the following pmf 0.1 for I = 0.2 0.2 for x = 0.4 0.2 for x = 0.5 P(X = x) = 0.3 for x = 0.8 0.2 for x = 1 0 otherwise Note: Write your final answers as decimals Find the following a) P(0.25 < X < 0.75) = b) P(X = 0.2|X<0.6) c) E(2X+1) =
. The average monthly rainfall (AMR) in inches is a random
variable with the cumulative distribution function (cdf):\
a. Determine the probability that the AMR is less than 1.5
inches.
b. Determine the probability the AMR is between 1.5 and 2
inches.
c. What is the median AMR? d. Determine the equation describing
the probability density function (pdf), f(x)
4 F(x) = .16, otherwise 1.2 1.0 0.8 0.4 0.2 0.0 97.5 98 98.5 99.5 100 100.5
Let the random variable X be a random number with the uniform density curve in the figure below. Area = 0.4 Area = 0.5 Area = 0.2 Height = 1 0.3 0.7 0.5 0.8 P(X<0.5 or X > 0.8) P(0.3<X<0.7) (a) (b) Find the following probabilities. P(X 2 0.35) (a) (b) P(X = 0.35) P(0.35 < X < 1.25) (c) P(0.10 < X < 0.20 or 0.6 < X < 0.9) (d) X is not in the interval 0.5 to...
Problem 4 Let X and y be independent Poisson(A) and Poisson(A2) random variables, respectively. i. Write an expression for the PMF of Z -X + Y. i.e.. pz[n] for all possible n. ii. Write an expression for the conditional PMF of X given that Z-n, i.e.. pxjz[kn for all possible k. Which random variable has the same PMF, i.e., is this PMF that of a Bernoulli, binomial, Poisson, geometric, or uniform random variable (which assumes all possible values with equal...
+0.5/1 points Previous AnswersSCalcCC4 7.2.001 2, 9x cos(Ty) is shown A direction field for the differential equation y y 2.0 1.5 1.0 0.5 0.4 -0.6 -0.4 -0.2 0.0 0.2 0.6 (a) Sketch the graphs of the solutions that satisfy the given initial conditions. (i) y(0) 0 (iii y(0) 1 (ii) y(0) 0.5 (iv) y(0) 1.6 V y 2:0 1.5 1.5 .5 X -0.6 O-0.6 -0.2 -0.4 0.6 -0.4 0.0 0.2 0.4 0.6 -0.2 0.0 0.2 0.4 2.0r 1.5 1.5 0.5...
Let X denote the amount of space occupied by an article placed in a 1-ft packing container. The pdf of X is below. 56x6(1 - x) 0 x 1 f(x) = otherwise Obtain the cdf of X. 0 0 > X F(x) 0 s x s 1 1 x > 1 Graph the cdf of X F(x) F(x) 1.0 1.0 0.8 0.8 0.6 0.6 0.4 0.4 0.2 0.2 1.0 0.8 0.6 0.4 0.2 1.0 0.8 0,6 0.4 0.2 F(x F(x)...
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-102-x) 1sxs2 ; otherwise (0) (ii) (ii) Determine the value of c. Obtain cumulative distribution function Find P(X < 1.2). Consider the following cumulative distribution function for X. 06 0.8 1.0 Fx) 0.9 (i) Determine the probability distribution. (ii) Find P(X 1). (ii) Find P(OX5) Question 3 Consider the following pdf otherwise (i) (ii)...
0.2e ( poimt Given the M randmvariable X is MO). t0Provide the name of the distribution of X, as well as its provide the name of the distrbon of X, as well as is parameters Select all that apply. There may be more than one correct answer. A. negative binomial (n 1,p 0.2) OC. geometric(p 0.8) B. geometriclp 0.2) D. negative binomial(n-1, p-0.8) E. binomial(n-1,p-0.2) - F. binomial(n-1, p-0.8) G. bernoulli(p 0.2) H. bernoulli(p 0.8) I. None of the above
Question 1 A continuous random variable X which represents the amount of sugar (in kg) used by a family per week, has the probability density function c(x-1(2-xsxs2 ; otherwise f(x) (i) Determine the value of c ii) Obtain cumulative distribution function (iii) Find P(X<1.2). Question 2 Consider the following cumulative distribution function for X 0.3 0.6 0.8 0.9 1.0 (i) Determine the probability distribution. ii) Find P(X<1). iii Find P(O <Xs5). Consider the following pdf ,f(x) = 2k ; 1<x<2...
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