8) P(X < 0.7) = (0.7 - 0) * 0.5 = 0.35
9) P(0.3 < X < 0.9) = (0.9 - 0.3) * 0.5 = 0.3
10) P(X > 2) = (3 - 2) * 0.25 =0.25
QUESTION 8 This diagram will relate to the next three questions, Suppose that X is a...
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...
A random number generator will spread its output uniformly across the entire interval from 0 to 1 as we allow it to generate a long sequence of numbers. The results of many trials are represented by the density curve of a uniform distribution. This density curve appears in red in the given figure. It has height 1 over the interval from 0 to 1, and height 0 everywhere else. The area under the density curve is 1: the area of...
1. Two independent random variables X and y are given with their distribution laws 4 P 07 0.1 0.2 P 0.2 0.3 0.5 Find 1) the variance of random variable Y 2) the distribution law of random variable Z-0.5Y+x END TEST IN PROBABL ITY THEORY AND STAISTICS Variant 1 1. Two independent random vanables X and Y are given with their distribution laws: 2 0.7 0.1 P 0.2 0.3 0.5 0.2 Find 1) the variance of random varñable Y 2)...
< Previous Previous 2 3 4 5 6 7 8 9 10 Next Next Question 1 of 10 (1 point) View problem in a pop-up Determine whether the distribution represents a probability distribution. X | 2 P(x) 0.1 6 0.4 9 11 0.7 0.9 Download data Part 1 out of 2 The distribution (select) a probability distribution. CHECK NEXT
help asap 2. The random variable X is uniformly distributed in the interval [4,8). Find the probability density function for random variable Y if Y 6X 12 3. Two independent random variables X and y are given with their distribution laws: 0.2 0.4 0.1 0.9 0.7 0.1 p. Find the distribution law and mode of the random variable Z-5XY 0.2
For the next three problems, consider a Markov chain (Xn n2o with three states 1,2,3: 「0.5 0.3 0.2 P 0.1 0.4 0.5 0 0.2 0.8 ANDREY SARANTSEV Problem 11.24. Calculate the probability P(X2X 1) Problem 11.25. For the initial distribution x(0) 10.6, 0.1,이, find the distribution of Xi Problem 11.26. Find the stationary distribution
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...
Suppose we have the following continuous distribution: f(x)= 1 - |1| if -1 ≤ x ≤ 1 and 0 elsewhere. Find p(x < -0.7), p(x ≤ 0.5), p(-0.6 ≤ x ≤ -0.4) and p(-0.3 ≤ x ≤ 0.2). *Hint: Area of a trapezoid is A=a[(b+c)/2]
Please answer both questions. Will Rate!! An automobile service facility specializing the next car to be tuned engine tune-ups knows that 50 % of all tune-ups are done on four-cylinder automobiles, 35% on six-cylinder automobiles, and 15% on eight-cylinder automobiles. Let J the number of cylinders (a) What is the pmf of X7 P(x) line araph for the pmf of part (a). (b) Draw Probability Probability 0.5 0.45 0.4 035 0.3 0.5 045 0.4 О35 0.3 0.25 0.25 0.2 0.2...
4. A mixed random variable X has the cumulative distribution function: (0. for x < 0.4 X2 – 0.02 for 0.4 < x < 0.5 Fx(xx) = { 0.2.x3 + 0.6x + 0.25 for 0.5 < x < 0.7 for x > 0.7 (a) Calculate the mean and standard deviation of X. (b) Find P(0.44 < X < 0.62).