consider random variable X with the CDF, F(x) shown. i) find the variance of X [V(X)]...

Question

Question

8 T 4 5 6 7 F(I) 0.15 0.15 0.20 0.23 0.74 1.00 consider random variable X with the CDF, F(x) shown.

i) find the variance of X [V(X)]

ii) calculate P(X=7 | X >= 6)

math Statistics-And-Probability

Answer 1

Answer #1

Ի 5 6 L 8 Plx) o os G.si 20 Islot fo.2-0.15) 10.23-0.2) 10.94-0.23) 11-0.74) Ý Elx) = za pial - -- 0.6. o 2 st 0.1% + 3.57 +:

Answer 2

Similar Homework Help Questions

Question 6 A random variable X has cdf χ20 Plotthe cdf and identif.,(x)-1-0.2~ a) Plot the...

Question 6 A random variable X has cdf χ20 Plotthe cdf and identif.,(x)-1-0.2~ a) Plot the cdf and identify the type of the random variable. b) Find the pdf of X. c) Calculate P[-4eX<-1], P(xS2], P(X=1], Pf2-K6], and P[X>10]. d) Calculate the mean and the variance of X. If the random variable X passes through a system with the following chara cteristic function: e) f) Find the pdf of Y. Calculate the mean and the variance of Y. Good Luck
1. Consider the following Cumulative Distribution Function (CDF) of random variable 0.41 1 t <3 0.78...

1. Consider the following Cumulative Distribution Function (CDF) of random variable 0.41 1 t <3 0.78 3 < t < 5 0.94 5t<7 F(t) = a. 4 Find P(T> 3); P(1.5 < T b. [3] Find E(3T +5) and V (3T5) 6); P(T < 5IT2)
E. Consider a continuous random variable X with cdf F(x) = x3/8, 0 < x < 2.

E. Consider a continuous random variable X with cdf F(x) = x3/8, 0 < x < 2. (27) The pdf f(x) of X is (а) 6х (b) x3/8 (c) 3x2/8 (d) x2/4(28) E[X2+3X] is (а) 6.9 (b) 4.3 (с) 4.5 (d) 8.1 (29) The probability P(X > 1) is (a) 7/8 (b) 4/8 (c) 6/8 (d) 3/8

2. For a discrete random variable X, with CDF F(X), it is possible to show that...

2. For a discrete random variable X, with CDF F(X), it is possible to show that P(a < X S b)-F(b) - F(a), for a 3 b. This is a useful fact for finding the probabil- ity that a random variable falls within a certain range. In particular, let X be a random variable with pmf p( 2 tor c-1,2 a. Find the CDF of X b. Find P(X X 5). c. Find P(X> 4). 3. Let X be a...
20 pts total] Consider the random variable X with the following CDF shown below a. [04...

20 pts total] Consider the random variable X with the following CDF shown below a. [04 pts] Determine the correct value for c. b. [04 pts] Find P[1 s X s 3]. c. (04 pts] Find E[X], the expected value of x d. (04 pts] Find Var[X], the variance of X. e. [04 pts] Find the second moment of X.
4. Consider a continuous random variable X that is normally distributed with mean 4 and variance...

4. Consider a continuous random variable X that is normally distributed with mean 4 and variance 10. i. Draw (as accurately as you can) the pdf of X. Carefully label axes. ii. Draw (as accurately as you can) the cdf of X. Carefully label axes. iii. At what value of x does the cdf take on the value 0.5? Label this in your diagram. iv. In the diagram of your pdf, label the area that represents the probability that X...

(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...
(a) Let X be a continuous random variable with the cdf F(x) and pdf f(.1). Find...

(a) Let X be a continuous random variable with the cdf F(x) and pdf f(.1). Find the cdf and pdf of |X|. (b) Let Z ~ N(0,1), find the cdf and pdf of |Z| (express the cdf using ” (-), the cdf of Z; give the explicit formula for the pdf).
The CDF of a random variable X is given by: F(x) = 1 - e-2x for...

The CDF of a random variable X is given by: F(x) = 1 - e-2x for x >= 0 0 for x < 0 a) Find the PDF of X. b) Find P(X > 2) c) P(-3 < X ≤ 4)

3. The probability distribution of the discrete random variable X is f(x) = 2 x 1...

3. The probability distribution of the discrete random variable X is f(x) = 2 x 1 8 x 7 8 2−x , x = 0, 1, 2. Find the mean of X. 4. The random variable X, representing the number of errors per 100 lines of software code, has the following probability distribution: x 1 2 3 5 6 f(x) 0.03 0.37 0.2 0.25 0.15 (a) Find E(X). (b) Find E(X2 ). 5. Use the distribution from Problem 4. (a)...