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
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.)
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 density of a random variable X is given in the figure below. 0 1 X 2 From this density, the probability that X is at least 1.48 is: Give your answer to at least 4 decimal places.
(a) Formulate a probability statement to determine the value of z so that the area under the standard normal curve in the right tail is 0.0330: P(Za) 0.0330 (b) Convert the probability statement relating to an area to the left of the normal curve: (c) Locate the closest probability value available in the standard normal table. Give the answer with four decimal places. The closest probability value i (d) Find the z value corresponding to the answer for (c). Give the answer with two decimal places. Z= P(Zsa)-0.967
The probability density of a random variable X is given in the figure below. 1 From this density, the probability that X is at least 0.66 is:
Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. P(A | B) = 0.2, P(B) = 0.9, P(A | B') = 0.1. Find P(B | A). %3D Р(В | А)
A probability density curve is described by 2 line segments. The first connects (0, 1/7) and (3.5. 1/7), and the other connects (3.5, 1/7) to the x-axis. Part A: Sketch the probability density curve as described. (Be sure to label all values) Part B: Determine the x-value where the second segment crosses the x-axis. Part C: Determine P(X 0.05). Part E: Determine the median x-value of this distribution.
Do you dislike waiting in line? Supermarket chain Kroger has used computer simulation and information technology to reduce the average waiting time for customers at 2,300 stores. Using a new system called QueVision, which allows Kroger to better predict when shoppers will be checking out, the company was able to decrease average customer waiting time to just 26 seconds (InformationWeek website). Assume that waiting times at Kroger are exponentially distributed. a. Which of the probability density functions of waiting time is applicable at Kroger? 1 а. f(x) — er = for æ >0 e 26 1 b. f(x) = 1 e 26 26 for æ >0 e 1 c. f(x) = 1 for æ 0 26 Select your answer - v b. What is the probability that a customer will have to wait between 15 and 30 seconds (to 4 decimals)? c. What is the probability that a customer will have to wait more than 2 minutes (to 4 decimals)?
Assume that the machine yields the item selected 90 percent of the time, and returns nothing 10 percent of the time. Three individuals attempt to use the machine. Let X be defined as the number of individuals who obtain the item selected. How many different values are possible for the random variable X? Fill in the table below to complete the probability density function. Be certain to list the values of X in ascending order.

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