Answered: The joint probability density function…

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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A spinner contains the values 0 up to, but not including, 1. The outcomes of the spinner are equally likely, so the density curve is described by a uniform distribution as shown. Height = 1 0 Random number Is this a valid probability distribution? Explain. No, this is not a valid probability distribution. The height and base cannot both be exactly 1. Yes, the probability distribution is valid because the curve is always on or above the horizontal axis and the height is exactly 1. Yes, the probability distribution is valid because the curve is always on or above the horizontal axis and the area is exactly 1 underneath the curve. Yes, the probability distribution is valid because the curve is always on or above the horizontal axis and the base is exactly 1. O Yes, the probability distribution is valid because shape is uniform.
I need help finding the probability that only two cars arrive.
Question Annual sales (in million taka) by a chain shop are provided below.Year201020112012201320142015201620172018Sales6812181513161210(a) Estimate first order autocorrelation function ?(1) and use this to comment on the properties of the time series.(b) Obtain forecast for the year 2019 from the trend model ?̂?=5.48+4.52?−0.50?2.
I have Answered Part (i) of this question but im stuck on the rest from Part (ii) - (iv) please help Q2. i) Two six-sided dice are rolled and the scores added together. Draw the sample space, the probability density function and the cumulative probability density function by hand. ii) What is the probability that the number obtained on one of the dice is a multiple of a number obtained on the other dice? What is the probability of doubles (1,1, 2,2. etc)? iii) A weekly lottery with numbers 1-49 has come up with the numbers 2,4,6,8,10 and 20,25,30,35,40 over the last month. There have been claims of fraud and the organisers are worried as ticket sales are down.Write a short paragraph on the issue giving views based on your knowledge of probability. iv) Use four letter word to explain and illustrate the differences between permutations and combinations. Give an example where the distinction between permutations and combinations is crucial.
A motorcycle drives from Welcome Rotonda to Fairview and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Welcome Rotonda to Fairview and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by 1 2 4 0.01 0.01 0.03 0.07 0.01 0.03 0.05 0.08 0.15 1 0.03 0.02 2 0.03 0.11 0.01 0.01 3 0.02 0.07 0.1 0.03 0.01 4 0.01 0.06 0.03 0.01 0.01 Find: (a) Give the marginal probability distribution of fx (0). (b) Give the marginal probability distribution of fy (3). (c) Give the conditional density distribution of X=3 given Y = 3. (d) Give E(X). . (e) Give E(Y). (1) Give E(X) Y = 3). (g) Give the standard deviation of Y. *Complete the interpretation of the data. As the number of from Welcome Rotonda to Fairview encountered by the motorcycle increases, the number of stoplights of its return trip tends…
pLEASE ANSWER IT ASAP
Cody and Sierraagree to meet at the fitness center for a morning workout. They agree to meet sometime between 6:00am and 7:00am. They have an agreement that if either of them has to wait more than 15minutes for the other one, the workout is canceled. What is the probability that they will work out ? Assume that Cody and Sierra’s arrival times are independent and uniformly distributed between 6:00am and 7:00am.
part (i), (ii) and (iii) is already answered. could you answer part (iv) only i. Two six-sided dice are rolled and the scores added together. Draw the sample space, the probability density function and the cumulative probability density function by hand. ii. What is the probability that the number obtained on one of the dice is a multiple of a number obtained on the other dice? What is the probability of doubles (1,1, 2,2. etc)? iii. A weekly lottery with numbers 1-49 has come up with the numbers 2,4,6,8,10 and 20,25,30,35,40 over the last month. There have been claims of fraud and the organisers are worried as ticket sales are down.Write a short paragraph on the issue giving views based on yourknowledge of probability. iv. Use six letter word to explain and illustrate the differences between permutations and combinations. Give an example where the distinction between permutations and combinations is crucial.
A fair coin is flipped until the first tail appears. The player wins $2 if it occurs on the first flip, $4 if on the second flip, $8 if on the third flip and, in general, $2k if it occurs on the kth toss. Let X be a random variable that denotes the player's winnings. What is the pdf of X? Show that it satisfies the conditions required to be a proper pdf. What is the value of expected winnings? If the price to play this game was $10,000, would you play? Explain your answer.
A delivery truck travels from point A to point B and back using the same route each day. There are four traffic lights on the route. Let X1 denote the number of red lights the truck encounters going from A to B and X2 denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (X1, X2) is given by

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The joint probability density function of the random variables x and y is as follows?