Give an example of a discrete
or continuous random variable X (by giving the p.m.f. or p.d.f.)
whose cumulative distribution function F(x) satisfies F(n)=1-1/n!
Thank you very much!
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Give an example of a discrete
or continuous random variable X (by giving the p.m.f. or...
Hi! Please help me on this question #41. Thank you so much! (by giving the p.m.f....
Hi! Please help me on this question #41.
Thank you so much!
(by giving the p.m.f. or p.d.f.) whose the cumulative distribution function F(t) satisfies F(n) = 1 - 1 for each positive integer n. Exercise 3.41. We produce a random real number X through the following two- stage experiment. First roll a fair die to get an outcome Y in the set {1,2,...,6}. Then, if Y = k, choose X uniformly from the interval (0, k]. Find the cumulative...
7.Give an example of a discrete-type random variable with an infinite mean. (Give the p.m.f., and...
7.Give an example of a discrete-type random variable with an
infinite mean. (Give the p.m.f., and show that the mean is
infinite.)
6. Suppose that X is a non-negative, integer-valued random variable. See if you can simplify k-1{x>k}. (I am using 1{x>k) as the indicator function of the event {X > k}. So if X = 5 and k = 3, then the indicator function is 1. On the other if X = 5 and k = 7, then the...
6. Let X be a continuous random variable whose probability density function is: 0, x <0,...
6. Let X be a continuous random variable whose probability density function is: 0, x <0, x20.5 Find the median un the mode. 7. Let X be a continuous random variable whose cumulative distribution function is: F(x) = 0.1x, ja 0S$s10, Find 1) the densitv function of random variable U-12-X. 0, ja x<0, I, ja x>10.
5. (20%) Let X be a continuous random variable whose probability density function is fr(x) (a +bx)%0(x) (a) If Ex)f...
5. (20%) Let X be a continuous random variable whose probability density function is fr(x) (a +bx)%0(x) (a) If Ex)f find a and b. (b) Give the cumulative distribution function F,(x) f()dt of X and Var(X) (c) Let A be any Borel set of R. Define P by P(A) [,f dm
5. (20%) Let X be a continuous random variable whose probability density function is fr(x) (a +bx)%0(x) (a) If Ex)f find a and b. (b) Give the cumulative distribution...
1. (6 pts) Consider a non-negative, discrete random variable X with codomain {0, 1, 2, 3,...
1. (6 pts) Consider a non-negative, discrete random variable X with codomain {0, 1, 2, 3, 4, 5, 6} and the following incomplete cumulative distribution function (c.d.f.): 0 0.1 1 0.2 2 ? 3 0.2 4 0.5 5 0.7 6 ? F(x) (a) Find the two missing values in the above table. (b) Let Y = (X2 + X)/2 be a new random variable defined in terms of X. Is Y a discrete or continuous random variable? Provide the probability...
(a) Below is the CDF for a discrete random variable, X if x 1 1/2 if...
(a) Below is the CDF for a discrete random variable, X if x 1 1/2 if 1 x< 2 if 2 x 3 7/8 if 3 x 4 F(x) = 3/4 2 1 if nx <n+1. Describe the probability 2n In general, note that for any positive integer n, F(x) distribution of X by finding P(X 1), P(X = 2), P(X positive integer n, and describe an experiment that would result in this random variable X. 3), and the general...
2). Consider a discrete random variable X whose cumulative distribution function (CDF) is given by 0...
2). Consider a discrete random variable X whose cumulative distribution function (CDF) is given by 0 if x < 0 0.2 if 0 < x < 1 Ex(x) = {0.5 if 1 < x < 2 0.9 if 2 < x <3 11 if x > 3 a)Give the probability mass function of X, explicitly. b) Compute P(2 < X < 3). c) Compute P(x > 2). d) Compute P(X21|XS 2).
Answer the following: a) Describe the difference between a discrete and a continuous random variable. Give an example of each.
Answer the following: a) Describe the difference between a discrete and a continuous random variable. Give an example of each. b) Describe probability density function c) Differentiate between retrospective and observational studies d) What is the significance of the Central Limit Theorem in statistics?
Please help with this question. 12. (15 points) Let X be a continuous random variable with...
Please help with this question.
12. (15 points) Let X be a continuous random variable with cumulative distribution function 0. F(x) = Inc. <a a<x<b bcx 1. (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F()...
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
Hi! Please help me on this question #41.
Thank you so much!
(by giving the p.m.f. or p.d.f.) whose the cumulative distribution function F(t) satisfies F(n) = 1 - 1 for each positive integer n. Exercise 3.41. We produce a random real number X through the following two- stage experiment. First roll a fair die to get an outcome Y in the set {1,2,...,6}. Then, if Y = k, choose X uniformly from the interval (0, k]. Find the cumulative...
7.Give an example of a discrete-type random variable with an
infinite mean. (Give the p.m.f., and show that the mean is
infinite.)
6. Suppose that X is a non-negative, integer-valued random variable. See if you can simplify k-1{x>k}. (I am using 1{x>k) as the indicator function of the event {X > k}. So if X = 5 and k = 3, then the indicator function is 1. On the other if X = 5 and k = 7, then the...
6. Let X be a continuous random variable whose probability density function is: 0, x <0, x20.5 Find the median un the mode. 7. Let X be a continuous random variable whose cumulative distribution function is: F(x) = 0.1x, ja 0S$s10, Find 1) the densitv function of random variable U-12-X. 0, ja x<0, I, ja x>10.
5. (20%) Let X be a continuous random variable whose probability density function is fr(x) (a +bx)%0(x) (a) If Ex)f find a and b. (b) Give the cumulative distribution function F,(x) f()dt of X and Var(X) (c) Let A be any Borel set of R. Define P by P(A) [,f dm
5. (20%) Let X be a continuous random variable whose probability density function is fr(x) (a +bx)%0(x) (a) If Ex)f find a and b. (b) Give the cumulative distribution...
1. (6 pts) Consider a non-negative, discrete random variable X with codomain {0, 1, 2, 3, 4, 5, 6} and the following incomplete cumulative distribution function (c.d.f.): 0 0.1 1 0.2 2 ? 3 0.2 4 0.5 5 0.7 6 ? F(x) (a) Find the two missing values in the above table. (b) Let Y = (X2 + X)/2 be a new random variable defined in terms of X. Is Y a discrete or continuous random variable? Provide the probability...
(a) Below is the CDF for a discrete random variable, X if x 1 1/2 if 1 x< 2 if 2 x 3 7/8 if 3 x 4 F(x) = 3/4 2 1 if nx <n+1. Describe the probability 2n In general, note that for any positive integer n, F(x) distribution of X by finding P(X 1), P(X = 2), P(X positive integer n, and describe an experiment that would result in this random variable X. 3), and the general...
2). Consider a discrete random variable X whose cumulative distribution function (CDF) is given by 0 if x < 0 0.2 if 0 < x < 1 Ex(x) = {0.5 if 1 < x < 2 0.9 if 2 < x <3 11 if x > 3 a)Give the probability mass function of X, explicitly. b) Compute P(2 < X < 3). c) Compute P(x > 2). d) Compute P(X21|XS 2).
Please help with this question.
12. (15 points) Let X be a continuous random variable with cumulative distribution function 0. F(x) = Inc. <a a<x<b bcx 1. (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
12. (15 points) Let X be a continuous random variable with cumulative distribution function **- F() = 0, <a Inx, a < x <b 1, b<a (a) Find the values of a and b so that F(x) is the distribution function of a continuous random variable. (b) Find P(X > 2). (c) Find the probability density function f(x) for X. (d) Find E(X)
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