Q3 An orthopedic physician's practice considers the number of errors in a bill and the number of X-rayslisted on the bill. There may or may not be a relationship between these random variables. Let therandom variables Xand Ydenote the number of errors and the number of X-rays on a bill, respectively.Assume that the joint probability distribution of Xand Yis defined by fxy(x, y) and it is given below,determine the covariance and correlation.Y0.127530.00850.0340.1875240.050.0.01250.2100.0560.0140.2250.0600.0152X

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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 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 2 3 0.07 0.01 0.05 0.01 0.03 0.01 0.03 0.08 0.03 0.02 2 0.03 0.11 0.15 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: 1. Standard deviation of Y. 2. Fill in the blanks As the number of motorcycle drivers from Welcome Rotonda to Fairview encountered by the motorcycle (increase, decrease, or be (zero, negative, or positive) covariance. The increases, the number of stoplights of its return trip tends to uncorrelated). Therefore, X and Y have a covariance was calculated to be (numerical value). *Describe the correlation whether a strong, a weak, or no. X and Y have correlation.…
A catering service got hired to run the bar at a wedding with 100 guests. A wedding guest drinks on average 4 pints with variance of 0.9. i. Calculate how many pints the catering service approximately has to have in stock to be 95% sure that they can serve the demand. ii. To be on the safe side the catering service decides to bring 430 pints. What is the approximate probability that those will suffice?
About 3% of the population has a particular genetic mutation. 700 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 700. (If possible, round to 1 decimal place.)
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…
Let x be a continuous random variable that is normally distributed with a mean of 123.5 and a standard deviation of 12.3. FInd the probability that x assumes a value between 97.9 and 113.2.
Assume that the probability of a being born with Genetic Condition B is p=17/60. A study looks at a random sample of 1146 volunteers. 4 Find the most likely number of the 1146 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 1146) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value p+20. Enter answer as an interval using square-brackets only with whole numbers. usual values= Question Help: Submit Question Jump to Answer Written Example Message instructor 44°F Clear W S 3 E D 4 Q Search R LL T V G Y 00 H J
Q3 An orthopedic physician's practice considers the number of errors in a bill and the number of X-rays listed on the bill. There may or may not be a relationship between these random variables. Let the random variables X and Y denote the number of errors and the number of X-rays on a bill, respectively. Assume that the joint probability distribution of X and Y is defined by fxy (x, y) and it is given below, determine the covariance and correlation. Y 0.1275 3 0.0085 0.034 0.1875 2. 0.050 0.0125 0.210 1. 0.056 0.014 0.225 0.060 0.015 1 2 X
Solve for (E)
A snack company makes packages of grapes and honeydew slices. The weight of an individual package of grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91 ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random variables. Let D = G – H. What is the probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices? 0.127 0.230 0.284 0.334

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