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 0.27 and 0.85?(c) What is the probability of generating a number greater than 0.92?(a) Choose the correct graph of the uniform density function below.A.B.Density1.2-1-0.8-6060.6-0.4-0.2-0 0.2 0.4 0.6 0.8 1 1.21.2-1-0.8-0.6-0.4-0.2-0+DensityX0 0.2 0.4 0.6 0.8 1 1.2(b) The probability is(c) The probability isto(Simplify your answer.)(Simplify your answer.)XC.1.2-1-0.8-0.6-0.4-0.2-Density0 0.2 0.4 0.6 0.8X1 1.2

GivenRandom-number generator on calculators randomly generates a number between 0 and 1

Answered: The random-number generator on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2. Is the graph shown a probability distribution (prob density function) of a continuous random variable? Why or why not? 1 0 1 2 4
VERSION 1 Q. 1 Let X be the number of bugs in the first draft of a piece of software, and let Y be the number of bugs remaining in the second draft of the same software. Their joint probability mass function is given by the following table: Y 1 3 0.03 0.11 0.09 0.08 1 0.05 0.12 K 0.04 0.04 0.06 0.08 0.09 021 (i) Obtain K so that it is the joint probability mass function;
The distribution of the time until a Web site changes is important to Web crawlers that search engines use to maintain current information about Web sites. The distribution of the time until change (in days) of a Web site is approximated in the following table. Days until Probability Changes 1.5 0.05 3.0 0.25 4.5 0.35 5.0 0.20 7.0 0.15 Determine the probability mass function of the days until change. O a. None among the choices O b. P(X < 5.0) = P(X = 1.5) + P(X = 3.0) + P(X = 4.5) = 0.65 c. P(X=1.5) 0.05 P(X=3.0) 0.25 P(X=4.5) 0.35 P(X=5.0) 0.20 P(X=7.0) 0.15 O d. P(X < 7.0) = P(X = 1.5) + P(X = 3.0) + P(X = 4.5) + P(X = 5.0) + P(X = 7.0) = 1 %3D
In the probability distribution to the right, the random variable represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. P(x) O 0.1666 1 0.3347 0.2857 0.1495 3 0.0383 5 0.0252 u nua Describe the shape of the distribution. The distribution has one mode and is skewed right. (c) Compute and interpret the mean of the random variable X. Hx= 1.6338 hits (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. The observed number of hits per game will be less than the mean number of hits per game for most games. Over the course of many games, one would expect the mean number of hits per game to be the mean of the random variable. O C. The observed number of hits per game will be equal to the mean number of hits per game for most games. O D. In any number of games, one would expect the mean number of hits per game to be the mean of the random variable. (d)…
The marginal distributions of two random variables X and Y, together with some values of their joint distribution, are given in the table below. Fill in the table in such a way that X and Y are independent random variables. Y= 1 Y= 3 X= 0 0.50 X= 1 0.30 X= 2 0.10 0.10 0.20 0.50 0.50 1.00
The table below represents the probability density function for the random variable X. Find the standard deviation of X Round the final answer to two decimal places. 1/5 2/5 2/5 4 8 O Help copy to ClipboardDownload cSV
The random variable X has the distribution shown in the table to the right. P(X = x) (a) Find P(X= 3). (b) Find u. 0.3 0.2 4 (c) Find o?. 0.2 (a) Find P(X= 3). P(X = 3) =(Type an integer or a decimal.) (b) Find µ. H= (Type an integer or a decimal.) %3D (c) Find o?. o2 = (Type an integer or a decimal.)
Suppose the probability density function for a uniform distribution ranging from 0 to 1. Thus the probability that the random variable X is between 0.20 to 0.70 is
The probability density function for a uniform distribution ranging between 11.975 and 12.100 is
The cumulative distribution function of a continuous random variable X is given as Choices: A. 0.4 B. 0.5 C. 0.6 D. 0.7 E. 0.8 F. 0.9 G. Other:
The joint probability distribution of the number X of cars and the number Y of buses per signal cycle at a proposed left-turn lane is displayed in the accompanying joint probability table. P(x, y) 1 2 0.015 0.010 0.025 1 0.030 0.020 0.050 2 0.075 0.050 0.125 3 0.090 0.060 0.150 0.060 0.040 0.100 0.030 0.020 0.050 What is the probability that there is exactly one car and exactly one bus during a cycle? What is the probability that there is at most one car and at most one bus during a cycle? What is the probability that there is exactly one car during a cycle? Exactly one bus? P(exactly one car) = P(exactly one bus) = - Suppose the left-turn lane is to have a capacity of five cars and one bus is equivalent to three cars. What is the probability of an overflov during a cycle?
The probability distribution of y, the number of accidents per 10 days of a diversion road in continuous days, is given by 1 3 4 f(y) 0.40 0.30 0.15 0.05 0.10 a. What is the probability of 1

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