for a continous probability function , p(x<10)=0.37. in addition, p(x<8)=0.29 what is the probablity that x>8?
for a continous probability function , p(x<10)=0.37. in addition, p(x<8)=0.29 what is the probablity that x>8?
Is the following a discrete probability distribution? X P(x) 40 0.12 66 0.29 2 0.16 38 0.14 57 0.03 34 0.08
Let X1....Xn be i.i.d sample with a continous distribution function F(.) and X(1)<......<X(n) are the orser-statistics of the sample. Let the constant Mp be defined by F(Mp)=p. Show that for 1≤k1≤k2≤ n, P{X(k1) ≤Mp ≤X(k2)}=P{k1 ≤Bionmial(n,p) k2}
2. The probability density function of X is given by 10 0,x < 10 a) Find P(X>20). b) What is the cumulative distribution function of X?
6. For a continuous probablity distribution, 0 s xs 15. What is P(x > 15)?
3. Let X be a continous random varialile. a. What valoe of e will make () valil deay? [부 ]: .. b, what is P(X 1)? mu 3% c cona..suo dus.ly fundin c. Find E(x). d. What is P(0.5 < X <1.5)?S o与 o.s =| 0,2363
8. A probability density function (PDF) is given by: f(x)-k(8x-x2) for 0cx<8 What value of 'k' will make this a PDF? 9. A probability density function (PDF) is given by: f(x)-e.( 4) for x>a What value of a will make this a PDF? 10. A probability density function (PDF) is given by: f(x)-1.5x2 for -acx<a What value of a will make this a PDF?
7. A probability density function (PDF) is given by: f(x)-21x3 for x>a What value of 'a' will make this a PDF? 8. A probability density function (PDF) is given by: f(x) k(8x-x2) for 0<x<8 What value of 'k' will make this a PDF? 9. A probability density function (PDF) is given by: f(x)-e.(x4) for x> a What value of a will make this a PDF? 10. A probability density function (PDF) is given by: f(x)-15x2 for-a<x<a What value of a...
Enter the correct number to make this a valid probability mass function. 3 10 P(X = x) 10.12 0.1
1. An application in probability (a) A function p(q) is a probability measure if p(x) > 0VT E R and (r) dx = 1. We first show that p(x):= vino exp(-) is a probability measure. (1) Compute dr. (ii) Show that were dr = 1. (ii) (1pt) Conclude that pr(I) is a probability measure. (b) A random variable x(): R + R is an integrable function that assigns a numerical value, X(I), to the outcome of an experiment, I, with...
Let X be a random variable with probability density function fx= c1-x2, -1<x<10, otherwise What is the support of X? What is the value of c? Sketch the probability density function of X. Find P(X<0). Find P(X<0.5). Find P(X<2). Determine the expected value of X.