QUESTION 2A random variable X has probability density functionf(x;0) =Oe- Ox, x>00, elsewhereIt is desired to test the null hypothesis H:0=1 against the ternative H₁:0=2.Which of the following statements is incorrect1a=0.6065 if His rejected at X ≥ -11-B=0.6321 if His rejected at X >2All of the aboveALLECTIAMA|N

Given that Pdf of X is f(x) = θe-θ , x > 0

Answered: QUESTION 2 A random variable X has…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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QUESTION 10 Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2. What are the values for a and b? a. 2 and 6 b. Cannot answer with the information given. c. 0 and 4 d. Can be any range of x values whose length (b − a) equals 4. QUESTION 11 The probability density function, f(x), for any continuous random variable X, represents: a. all possible values that X will assume within some interval a ≤ x ≤ b. b. the probability that X takes on a specific value x. c. the height of the density function at x. d. None of these choices. QUESTION 12 Which of the following is true about f(x) when X has a uniform distribution over the interval [a, b]? a. The values of f(x) are different for various values of the random variable X. b. f(x) equals one for each possible value of X. c. f(x) equals one divided by the length of the interval from a to b.…
Suppose X and Y have joint probability density function ?(x, y) = { 6x, 0 < x < 1, 0 < y < 1 − x 0, elsewhere. a. Determine whether the two random variables are dependent or independent. b. If the value of Y is 0.5, what is the probability that X will have a value greater than 0.3? Please answer this question step by step and justify your solution
Question 17 If X is a random variable with the probability density function: f (x) = c|x|, for - 1 < x < 1 and 0 otherwise. What is the value of c? Please round your result to one decimal place. Correct Answer:_______________________
- If we assume that the moment of death of a tilapia fish in one of the commercial ponds for selling fish is Random and regular on the time period [300,0] where time is measured in minutes. So what is it Prospect 1. That the moment of death of this fish is more than three hours 2- This fish should live less than three hours 3- Find the density function, then find the expectation and variance
Question 1.2 Consider the function f (x) = (1/24(x^2 +1) 1 < or = x < or = 4) = (0 otherwise) Calculate P (x = 3) Calculate P (2 < or = x < or = 3) Question 1.3 Consider the function f (x) = (k - x/4 1 < or = x < or = 3) = (0 otherwise) which is being used as a probability density function for a continuous random variable x? a. Find the value of K b. Find P (x < or = 2.5)
Let X1, X2 .....Xn be n i.i.d. Γ(2,β) random variables where β is unknown, and the probability density function of each Xi is given by (in first screenshot) where Γ(2)=1. i) Show that the maximum likelihood estimator (MLE) βˆof β is given by βˆ = on second screenshot. ii) Now find a consistent estimator of β. Justify your answer. Γ is gamma.
1)Independent random variables X and Y are exponentially distributed with mean is β . Which of the following is the expected value of the new random variable Z defined by Z = X + Y? 2)The composite probability density function for the random variables X and Y is given as f (x, y) = x + y, 0 <x <1, 0 <y <1, otherwise 0. Which of the following is the value of the probability P (X ≤ 1/2)?
Consider the random variable with a probability density function of f(x)= (1/x ln(1.5)), 4<=x<=6 and f(x) = 0 elsewhere. What is the expected value of this random variable? What is the median of this random variable?
Suppose there is a random variable X whose probability density function has the form (shown in image). a) Find P(X>-0.2) b) Find the 90th percentile
ELT(Let) the joint probabilty density function of two con random variable Y and X. Please do the last three sigma x, y and PXY
QUESTION 2 Delta Airlines quotes a flight time of 4 hours, 3 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 4 hours and 4 hours, 12 minutes. (a) Show the graph of the probability density function for flight time. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 234, 240, 246, 252. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/12 unit long vertical line segment begins at 240 on the horizontal axis. A 1/12 unit long vertical line segment begins at 252 on the horizontal axis. A 12 unit long horizontal line segment begins at the tickmark labeled 240 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded…
Suppose X is a random variable taking values in the interval [0,2] with probability density function f(x) = 1-x/2. What is the variance of X?

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