Let the random variable X be a random number with the uniform density curve in the...
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...
Let X be a random number between 0 and 1 produced by the idealized uniform random number generator. Use the density curve for X, shown below, to find the probabilities: 1 0.8+ 0.6 0.4+ 0.2 + 0.4 + 0 0.2 0.6 0.8 (a) P(0.1 X 0.8) = (b) P(X 0.8)
ketch the graph of the probability density function over the indicated interval. 2x 9 [0, 3] y y 0.7 0.7 0.6 0.6 0.51 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 2 3 y у 0.7 0.7 0.6 0.6 0.5 0.54 0.4 0.41 0.3 0.3 0.2 0.2 y 0.71 0.7 0.6 0.6 0.5 0.5 0.4 0.4 0.3 0.3 0.2 0.2 0.1 0.1 2 Find the indicated probabilities. (a) PO < x < 2) (b) P(1 < x < 2)...
Thirty-two people were chosen at random from employees of a large company. Their commute times (in hours) were recorded in a table (shown bellow). 0.4, 0.9, 0.3, 0.5, 0.7, 1.2, 1.1, 0.7 0.6, 0.5, 0.8, 1.1, 0.9, 0.2, 0.5, 1.0 0.9, 1.0, 0.7, 0.2, 0.6, 1.1, 0.7, 1.1 0.5, 1.3, 0.7,0.6, 1.0, 0.8, 0.5, 0.9 Construct a frequency table using a class interval width of 0.2 starting at 0.15. Class Interval Frequency 0.15−0.35 0.35−0.55 0.55−0.75 0.75−0.95 0.95−1.15 ...
Thirty-two people were chosen at random from employees of a large company. Their commute times (in hours) were recorded in a table (shown on the right). 0.5 0.9 1.3 0.4 0.6 1.2 1.0 0.6 0.7 1.2 0.8 1.0 0.9 0.2 0.4 1.1 0.9 1.1 0.6 0.2 0.7 1.0 0.6 1.4 0.4 1.3 0.6 0.7 1.1 0.8 0.4 0.9 Construct a frequency table using a class interval width of 0.2 starting at 0.15. (Type integers or simplified fractions.) Frequency Relative Frequency...
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) =
intelligent control systems fuzzy logic based contril 0.8 0.7 04 0.3 0.2 0.3 b) Plot the ou a) Plot the output: -BUB 1.0 0.9 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.5 0.4A 0.3 0.2 0.2 0.17 0.1 c) Determine the defuzzified output y, by using I. Center of Gravity Method (COG) Height Method (H) II. + 1 (0.5)+3 05)+ 5(0.1) 6() 0.8 0.7 04 0.3 0.2 0.3 b) Plot the ou a) Plot the output: -BUB 1.0 0.9 0.9...
Thirty-two people were chosen at random from employees of a large company. Their commute times (in hours) were recorded in a table (shown on the right) 0.4 0.8 0.3 0.5 0.6 1.4 10 06 0.7 1.2 0.9 1.0 10.8 0210.5 1.1 0.8 11 06 02 0.7 1.0 0.6 0.3 0.5 1.3 0.6 0.7 0.5 0.9 0.5 0.8 Construct a frequency table using a class interval width of O2 starting at 0.15 (Type integers or simplified tractions) Class Interval Frequency Relative...
Please answer from a-d 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 0.4 0.2 0.2 0.0 0.0 -1.0 -0.5 0.0 0.5 1.0 1.5 2,0 -1.0 -0.5 0.0 0.5 1.0 1.5 2.0 X X Pick the correct cumulative distribution function plot and answer questions: Page 2 of 9 Write down the probability mass function and What is the PMF of X? A. Poisson (3...
The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution. (a) Identify the graph of the uniform density function. (b) What is the probability of generating a number between 0.85 and 0.96? (c) What is the probability of generating a number greater than 0.88? (a) Choose the correct graph of the uniform density function below. ОА. OB. OC. A Density Density A Density ON ON...