Determine whether the two random variable of Exercise 3.44 are independent or dependent. 3.44 Each rear tire on an experimental airplane issupposed to be filled to a pressure of 40 pound persquare inch (psi). Let X denote the actual air pressurefor the right tire and Y denote the actual air pressurefor the left tire. Suppose that X and Y are randomvariables with the joint density(k(z + y*), 30 < x < 50;30

Answered: Image /qna-images/answer/389037d9-6afc-4cf8-9b58-6b1f9fde1025.jpg

Answered: F.44 Each rear tire on an experimental…

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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Kllustration 20.23. 1600 families were selected at random in a city to test the belief that high income families usually send their childeren to public schools and low income families often send their children to Governments schools. The following results were obtained. School Public Govt. Total Income Low High 494 162 506 438 1000 600 Total 656 944 1600 Test whether income and type of school are independeGnt.
List the values of the random variables defined in the following 4. The number of bounced checks (due to insufficient funds) that a bank receives in a day. 5. The number of Covid-19 patients that recovers from this sickness in a certain hospital per day.
Exercise 12. Let X, Y, Z ~ N(0, 1) be independent. Determine the distribution, expectation and variance of the following random variables: a) X + Y + Z b) X² + y² + Z²
4-10 only
Burger Queen is conducting a study at its Linstead branch. Data of number of cars that orders at its drive through between the hours 8pm and 10pm on Sundays was obtained and shown in the table below. Number of Cars Frequency 4 4 5 5 6 10 7 15 8 20 From the table of random numbers attached/below, use the column of numbers starting with 99 to answer the following: Number of Cars Frequency 4 4 5 5 6 10 7 15 8 20 a) Simulate the number of cars for 14 Sundays between 8pm and 10 pm at this Burger Queen drive through.
do fast
Ivan Pedroso is a long jump athlete who wishes to qualify for the upcoming Summer Olympics. The olympic qualifying standard is 8.22 m in men's long jump, so a jump is considered as successful if it is equal to 8.22 m or more. Suppose that at each jump, Pedroso has a 0.05 chance of jumping successfully. Assume that all jumps are independent. For j= 1,2,3,...Let X; be the random variable that equals 1 if Pedroso jumps successfully at jth jump, and equals 0 otherwise. Let Y be the trial number where Pedroso jumps successfully for the first time, and let Z be the total number of successful jumps out of the first 250 trials. Which of the following is true? Select one or more: O a. P(Y = 5) = ()(0.05) (0.95)20 O b. E(Z) = 250E(X1) O c. Z has a geometric distribution O d. E(Y) = 20 O e. E(Z) = 20 O f. Y has a binomial distribution Og. X, has a geometric distribution O h. (X_3 \) has a Bernoulli distribution Oi. (E(X_5)=0.25 \)
A computer repair shop has two work centers. The first center examines the computer to see what is wrong and the second center repairs the computer. Let and be random variables representing the lengths of time in minutes to examine a computer () and to repair a computer (). Assume and are independent random variables. Long-term history has shown the following mean and standard deviation for the two work centers: Examine computer, : = 27.3 minutes; = 7.5 minutes Repair computer, : = 90.1 minutes; = 15.3 minutes Let be a random variable representing the total time to examine and repair the computer. Suppose it costs $1.80 per minute to examine the computer and $2.83 per minute to repair the computer. Then is a random variable representing the service charges (without parts). Compute the mean and standard deviation of V. Round your answer to the nearest tenth.
Classify the following random variables as discrete or continuous. 1.) The number of defective computers produced by a manufacturer 3.) The speed of a car 5.) The number of voters favoring a candidate
Let X be the number of Tails obtained in 40 independent tosses of a fair coin. Then, X is a Binomial random variable with parameters: On= 40, p 0.5. On= 40, p 0. %3D On= 0.5, p = 40. On= 100, p30.
11
Suppose that random variable X and X itself are independent. Show that there must exist a constant C such that P(X = C) = 1. (Hint: consider its CDF and use the properties of CDFs)

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